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Finding the Fourth Proportional to 570, 786.60 and 414.88

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Solution

The fourth proportional to 570, 786.60 and 414.88 is: 572.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    570 : 786.60 = 414.88 : x
  2. Step 2: Convert to fraction form
    570/786.60 = 414.88/x
  3. Step 3: Cross multiply
    570x = 786.60 × 414.88
  4. Step 4: Simplify right side
    570x = 326,344.61
  5. Step 5: Solve for x
    x = 326,344.61/570
  6. Step 6: Final answer
    x = 572.53

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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.