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Finding the Fourth Proportional to 569.52, 856.08 and 552.24

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Solution

The fourth proportional to 569.52, 856.08 and 552.24 is: 830.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.52 : 856.08 = 552.24 : x
  2. Step 2: Convert to fraction form
    569.52/856.08 = 552.24/x
  3. Step 3: Cross multiply
    569.52x = 856.08 × 552.24
  4. Step 4: Simplify right side
    569.52x = 472,761.62
  5. Step 5: Solve for x
    x = 472,761.62/569.52
  6. Step 6: Final answer
    x = 830.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.