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Finding the Fourth Proportional to 582.17, 802.92 and 512.08

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Solution

The fourth proportional to 582.17, 802.92 and 512.08 is: 706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.17 : 802.92 = 512.08 : x
  2. Step 2: Convert to fraction form
    582.17/802.92 = 512.08/x
  3. Step 3: Cross multiply
    582.17x = 802.92 × 512.08
  4. Step 4: Simplify right side
    582.17x = 411,159.27
  5. Step 5: Solve for x
    x = 411,159.27/582.17
  6. Step 6: Final answer
    x = 706.25

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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.