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Finding the Fourth Proportional to 498.32, 688.50 and 436.22

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Solution

The fourth proportional to 498.32, 688.50 and 436.22 is: 602.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.32 : 688.50 = 436.22 : x
  2. Step 2: Convert to fraction form
    498.32/688.50 = 436.22/x
  3. Step 3: Cross multiply
    498.32x = 688.50 × 436.22
  4. Step 4: Simplify right side
    498.32x = 300,337.47
  5. Step 5: Solve for x
    x = 300,337.47/498.32
  6. Step 6: Final answer
    x = 602.70

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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.