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Finding the Fourth Proportional to 529.70, 731.46 and 463.18

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Solution

The fourth proportional to 529.70, 731.46 and 463.18 is: 639.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.70 : 731.46 = 463.18 : x
  2. Step 2: Convert to fraction form
    529.70/731.46 = 463.18/x
  3. Step 3: Cross multiply
    529.70x = 731.46 × 463.18
  4. Step 4: Simplify right side
    529.70x = 338,797.64
  5. Step 5: Solve for x
    x = 338,797.64/529.70
  6. Step 6: Final answer
    x = 639.60

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1.5x scale

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.