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Finding the Fourth Proportional to 868.46, 1,302.08 and 435.31

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Solution

The fourth proportional to 868.46, 1,302.08 and 435.31 is: 652.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.46 : 1,302.08 = 435.31 : x
  2. Step 2: Convert to fraction form
    868.46/1,302.08 = 435.31/x
  3. Step 3: Cross multiply
    868.46x = 1,302.08 × 435.31
  4. Step 4: Simplify right side
    868.46x = 566,808.44
  5. Step 5: Solve for x
    x = 566,808.44/868.46
  6. Step 6: Final answer
    x = 652.66

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Double scale
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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.