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Finding the Fourth Proportional to 592.16, 891.44 and 532.63

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Solution

The fourth proportional to 592.16, 891.44 and 532.63 is: 801.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.16 : 891.44 = 532.63 : x
  2. Step 2: Convert to fraction form
    592.16/891.44 = 532.63/x
  3. Step 3: Cross multiply
    592.16x = 891.44 × 532.63
  4. Step 4: Simplify right side
    592.16x = 474,803.23
  5. Step 5: Solve for x
    x = 474,803.23/592.16
  6. Step 6: Final answer
    x = 801.82

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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.