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Finding the Fourth Proportional to 976.96, 1,465.52 and 292.96

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Solution

The fourth proportional to 976.96, 1,465.52 and 292.96 is: 439.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.96 : 1,465.52 = 292.96 : x
  2. Step 2: Convert to fraction form
    976.96/1,465.52 = 292.96/x
  3. Step 3: Cross multiply
    976.96x = 1,465.52 × 292.96
  4. Step 4: Simplify right side
    976.96x = 429,338.74
  5. Step 5: Solve for x
    x = 429,338.74/976.96
  6. Step 6: Final answer
    x = 439.46

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.