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Finding the Fourth Proportional to 570.87, 854.47 and 296.58

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Solution

The fourth proportional to 570.87, 854.47 and 296.58 is: 443.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.87 : 854.47 = 296.58 : x
  2. Step 2: Convert to fraction form
    570.87/854.47 = 296.58/x
  3. Step 3: Cross multiply
    570.87x = 854.47 × 296.58
  4. Step 4: Simplify right side
    570.87x = 253,418.71
  5. Step 5: Solve for x
    x = 253,418.71/570.87
  6. Step 6: Final answer
    x = 443.92

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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.