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Finding the Fourth Proportional to 624.80, 862.08 and 362.66

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Solution

The fourth proportional to 624.80, 862.08 and 362.66 is: 500.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.80 : 862.08 = 362.66 : x
  2. Step 2: Convert to fraction form
    624.80/862.08 = 362.66/x
  3. Step 3: Cross multiply
    624.80x = 862.08 × 362.66
  4. Step 4: Simplify right side
    624.80x = 312,641.93
  5. Step 5: Solve for x
    x = 312,641.93/624.80
  6. Step 6: Final answer
    x = 500.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.