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Finding the Fourth Proportional to 570.60, 854.88 and 296.28

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Solution

The fourth proportional to 570.60, 854.88 and 296.28 is: 443.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.60 : 854.88 = 296.28 : x
  2. Step 2: Convert to fraction form
    570.60/854.88 = 296.28/x
  3. Step 3: Cross multiply
    570.60x = 854.88 × 296.28
  4. Step 4: Simplify right side
    570.60x = 253,283.85
  5. Step 5: Solve for x
    x = 253,283.85/570.60
  6. Step 6: Final answer
    x = 443.89

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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.