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Finding the Fourth Proportional to 569.01, 785.45 and 372.86

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Solution

The fourth proportional to 569.01, 785.45 and 372.86 is: 514.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.01 : 785.45 = 372.86 : x
  2. Step 2: Convert to fraction form
    569.01/785.45 = 372.86/x
  3. Step 3: Cross multiply
    569.01x = 785.45 × 372.86
  4. Step 4: Simplify right side
    569.01x = 292,862.89
  5. Step 5: Solve for x
    x = 292,862.89/569.01
  6. Step 6: Final answer
    x = 514.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.