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Finding the Fourth Proportional to 588.46, 882.50 and 407.02

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Solution

The fourth proportional to 588.46, 882.50 and 407.02 is: 610.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.46 : 882.50 = 407.02 : x
  2. Step 2: Convert to fraction form
    588.46/882.50 = 407.02/x
  3. Step 3: Cross multiply
    588.46x = 882.50 × 407.02
  4. Step 4: Simplify right side
    588.46x = 359,195.15
  5. Step 5: Solve for x
    x = 359,195.15/588.46
  6. Step 6: Final answer
    x = 610.40

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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.