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Finding the Fourth Proportional to 976.60, 1,464.83 and 360.19

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Solution

The fourth proportional to 976.60, 1,464.83 and 360.19 is: 540.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.60 : 1,464.83 = 360.19 : x
  2. Step 2: Convert to fraction form
    976.60/1,464.83 = 360.19/x
  3. Step 3: Cross multiply
    976.60x = 1,464.83 × 360.19
  4. Step 4: Simplify right side
    976.60x = 527,618.50
  5. Step 5: Solve for x
    x = 527,618.50/976.60
  6. Step 6: Final answer
    x = 540.26

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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.