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Finding the Fourth Proportional to 570.14, 849.47 and 532.88

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Solution

The fourth proportional to 570.14, 849.47 and 532.88 is: 793.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.14 : 849.47 = 532.88 : x
  2. Step 2: Convert to fraction form
    570.14/849.47 = 532.88/x
  3. Step 3: Cross multiply
    570.14x = 849.47 × 532.88
  4. Step 4: Simplify right side
    570.14x = 452,658.66
  5. Step 5: Solve for x
    x = 452,658.66/570.14
  6. Step 6: Final answer
    x = 793.95

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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.