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Finding the Fourth Proportional to 582.98, 870.20 and 534.29

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Solution

The fourth proportional to 582.98, 870.20 and 534.29 is: 797.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.98 : 870.20 = 534.29 : x
  2. Step 2: Convert to fraction form
    582.98/870.20 = 534.29/x
  3. Step 3: Cross multiply
    582.98x = 870.20 × 534.29
  4. Step 4: Simplify right side
    582.98x = 464,932.14
  5. Step 5: Solve for x
    x = 464,932.14/582.98
  6. Step 6: Final answer
    x = 797.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.