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Finding the Fourth Proportional to 572.24, 854.86 and 562.52

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Solution

The fourth proportional to 572.24, 854.86 and 562.52 is: 840.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.24 : 854.86 = 562.52 : x
  2. Step 2: Convert to fraction form
    572.24/854.86 = 562.52/x
  3. Step 3: Cross multiply
    572.24x = 854.86 × 562.52
  4. Step 4: Simplify right side
    572.24x = 480,875.85
  5. Step 5: Solve for x
    x = 480,875.85/572.24
  6. Step 6: Final answer
    x = 840.34

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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.