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Finding the Fourth Proportional to 603.36, 831.72 and 497.16

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Solution

The fourth proportional to 603.36, 831.72 and 497.16 is: 685.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.36 : 831.72 = 497.16 : x
  2. Step 2: Convert to fraction form
    603.36/831.72 = 497.16/x
  3. Step 3: Cross multiply
    603.36x = 831.72 × 497.16
  4. Step 4: Simplify right side
    603.36x = 413,497.92
  5. Step 5: Solve for x
    x = 413,497.92/603.36
  6. Step 6: Final answer
    x = 685.33

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Why These Related Problems?

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