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Finding the Fourth Proportional to 665.17, 918.35 and 429.24

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Solution

The fourth proportional to 665.17, 918.35 and 429.24 is: 592.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.17 : 918.35 = 429.24 : x
  2. Step 2: Convert to fraction form
    665.17/918.35 = 429.24/x
  3. Step 3: Cross multiply
    665.17x = 918.35 × 429.24
  4. Step 4: Simplify right side
    665.17x = 394,192.55
  5. Step 5: Solve for x
    x = 394,192.55/665.17
  6. Step 6: Final answer
    x = 592.62

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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.