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Finding the Fourth Proportional to 500.76, 749.52 and 354.24

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Solution

The fourth proportional to 500.76, 749.52 and 354.24 is: 530.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.76 : 749.52 = 354.24 : x
  2. Step 2: Convert to fraction form
    500.76/749.52 = 354.24/x
  3. Step 3: Cross multiply
    500.76x = 749.52 × 354.24
  4. Step 4: Simplify right side
    500.76x = 265,509.96
  5. Step 5: Solve for x
    x = 265,509.96/500.76
  6. Step 6: Final answer
    x = 530.21

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