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Finding the Fourth Proportional to 592.16, 817.17 and 340.08

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Solution

The fourth proportional to 592.16, 817.17 and 340.08 is: 469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.16 : 817.17 = 340.08 : x
  2. Step 2: Convert to fraction form
    592.16/817.17 = 340.08/x
  3. Step 3: Cross multiply
    592.16x = 817.17 × 340.08
  4. Step 4: Simplify right side
    592.16x = 277,901.47
  5. Step 5: Solve for x
    x = 277,901.47/592.16
  6. Step 6: Final answer
    x = 469.30

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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.