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Finding the Fourth Proportional to 570.33, 854.45 and 296.13

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Solution

The fourth proportional to 570.33, 854.45 and 296.13 is: 443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.33 : 854.45 = 296.13 : x
  2. Step 2: Convert to fraction form
    570.33/854.45 = 296.13/x
  3. Step 3: Cross multiply
    570.33x = 854.45 × 296.13
  4. Step 4: Simplify right side
    570.33x = 253,026.80
  5. Step 5: Solve for x
    x = 253,026.80/570.33
  6. Step 6: Final answer
    x = 443.65

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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.