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Finding the Fourth Proportional to 570.52, 854.95 and 487.77

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Solution

The fourth proportional to 570.52, 854.95 and 487.77 is: 730.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.52 : 854.95 = 487.77 : x
  2. Step 2: Convert to fraction form
    570.52/854.95 = 487.77/x
  3. Step 3: Cross multiply
    570.52x = 854.95 × 487.77
  4. Step 4: Simplify right side
    570.52x = 417,018.96
  5. Step 5: Solve for x
    x = 417,018.96/570.52
  6. Step 6: Final answer
    x = 730.95

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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.