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Finding the Fourth Proportional to 592.65, 816.90 and 474.42

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Solution

The fourth proportional to 592.65, 816.90 and 474.42 is: 653.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.65 : 816.90 = 474.42 : x
  2. Step 2: Convert to fraction form
    592.65/816.90 = 474.42/x
  3. Step 3: Cross multiply
    592.65x = 816.90 × 474.42
  4. Step 4: Simplify right side
    592.65x = 387,552.20
  5. Step 5: Solve for x
    x = 387,552.20/592.65
  6. Step 6: Final answer
    x = 653.93

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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.