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Finding the Fourth Proportional to 508.64, 762.49 and 372.35

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Solution

The fourth proportional to 508.64, 762.49 and 372.35 is: 558.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.64 : 762.49 = 372.35 : x
  2. Step 2: Convert to fraction form
    508.64/762.49 = 372.35/x
  3. Step 3: Cross multiply
    508.64x = 762.49 × 372.35
  4. Step 4: Simplify right side
    508.64x = 283,913.15
  5. Step 5: Solve for x
    x = 283,913.15/508.64
  6. Step 6: Final answer
    x = 558.18

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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.