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Finding the Fourth Proportional to 467.60, 698.02 and 410

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Solution

The fourth proportional to 467.60, 698.02 and 410 is: 612.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.60 : 698.02 = 410 : x
  2. Step 2: Convert to fraction form
    467.60/698.02 = 410/x
  3. Step 3: Cross multiply
    467.60x = 698.02 × 410
  4. Step 4: Simplify right side
    467.60x = 286,188.20
  5. Step 5: Solve for x
    x = 286,188.20/467.60
  6. Step 6: Final answer
    x = 612.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.