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Finding the Fourth Proportional to 469.32, 647.04 and 454.20

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Solution

The fourth proportional to 469.32, 647.04 and 454.20 is: 626.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.32 : 647.04 = 454.20 : x
  2. Step 2: Convert to fraction form
    469.32/647.04 = 454.20/x
  3. Step 3: Cross multiply
    469.32x = 647.04 × 454.20
  4. Step 4: Simplify right side
    469.32x = 293,885.57
  5. Step 5: Solve for x
    x = 293,885.57/469.32
  6. Step 6: Final answer
    x = 626.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.