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Finding the Fourth Proportional to 469.34, 704.04 and 407.12

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Solution

The fourth proportional to 469.34, 704.04 and 407.12 is: 610.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.34 : 704.04 = 407.12 : x
  2. Step 2: Convert to fraction form
    469.34/704.04 = 407.12/x
  3. Step 3: Cross multiply
    469.34x = 704.04 × 407.12
  4. Step 4: Simplify right side
    469.34x = 286,626.73
  5. Step 5: Solve for x
    x = 286,626.73/469.34
  6. Step 6: Final answer
    x = 610.70

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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.