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Finding the Fourth Proportional to 592.29, 891.63 and 532.75

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Solution

The fourth proportional to 592.29, 891.63 and 532.75 is: 802.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.29 : 891.63 = 532.75 : x
  2. Step 2: Convert to fraction form
    592.29/891.63 = 532.75/x
  3. Step 3: Cross multiply
    592.29x = 891.63 × 532.75
  4. Step 4: Simplify right side
    592.29x = 475,014.55
  5. Step 5: Solve for x
    x = 475,014.55/592.29
  6. Step 6: Final answer
    x = 802.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.