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Finding the Fourth Proportional to 420.24, 631.08 and 356.16

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Solution

The fourth proportional to 420.24, 631.08 and 356.16 is: 534.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.24 : 631.08 = 356.16 : x
  2. Step 2: Convert to fraction form
    420.24/631.08 = 356.16/x
  3. Step 3: Cross multiply
    420.24x = 631.08 × 356.16
  4. Step 4: Simplify right side
    420.24x = 224,765.45
  5. Step 5: Solve for x
    x = 224,765.45/420.24
  6. Step 6: Final answer
    x = 534.85

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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.