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Finding the Fourth Proportional to 497.64, 687.11 and 332.13

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Solution

The fourth proportional to 497.64, 687.11 and 332.13 is: 458.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.64 : 687.11 = 332.13 : x
  2. Step 2: Convert to fraction form
    497.64/687.11 = 332.13/x
  3. Step 3: Cross multiply
    497.64x = 687.11 × 332.13
  4. Step 4: Simplify right side
    497.64x = 228,209.84
  5. Step 5: Solve for x
    x = 228,209.84/497.64
  6. Step 6: Final answer
    x = 458.58

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