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Finding the Fourth Proportional to 570.84, 854.67 and 296.34

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Solution

The fourth proportional to 570.84, 854.67 and 296.34 is: 443.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.84 : 854.67 = 296.34 : x
  2. Step 2: Convert to fraction form
    570.84/854.67 = 296.34/x
  3. Step 3: Cross multiply
    570.84x = 854.67 × 296.34
  4. Step 4: Simplify right side
    570.84x = 253,272.91
  5. Step 5: Solve for x
    x = 253,272.91/570.84
  6. Step 6: Final answer
    x = 443.68

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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.