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Finding the Fourth Proportional to 592.24, 883.18 and 578.27

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Solution

The fourth proportional to 592.24, 883.18 and 578.27 is: 862.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.24 : 883.18 = 578.27 : x
  2. Step 2: Convert to fraction form
    592.24/883.18 = 578.27/x
  3. Step 3: Cross multiply
    592.24x = 883.18 × 578.27
  4. Step 4: Simplify right side
    592.24x = 510,716.50
  5. Step 5: Solve for x
    x = 510,716.50/592.24
  6. Step 6: Final answer
    x = 862.35

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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.