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Finding the Fourth Proportional to 500.66, 752.07 and 409.58

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Solution

The fourth proportional to 500.66, 752.07 and 409.58 is: 615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.66 : 752.07 = 409.58 : x
  2. Step 2: Convert to fraction form
    500.66/752.07 = 409.58/x
  3. Step 3: Cross multiply
    500.66x = 752.07 × 409.58
  4. Step 4: Simplify right side
    500.66x = 308,032.83
  5. Step 5: Solve for x
    x = 308,032.83/500.66
  6. Step 6: Final answer
    x = 615.25

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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.