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Finding the Fourth Proportional to 603.16, 829.00 and 532.80

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Solution

The fourth proportional to 603.16, 829.00 and 532.80 is: 732.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.16 : 829.00 = 532.80 : x
  2. Step 2: Convert to fraction form
    603.16/829.00 = 532.80/x
  3. Step 3: Cross multiply
    603.16x = 829.00 × 532.80
  4. Step 4: Simplify right side
    603.16x = 441,691.87
  5. Step 5: Solve for x
    x = 441,691.87/603.16
  6. Step 6: Final answer
    x = 732.30

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.