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Finding the Fourth Proportional to 466.30, 699.45 and 414.10

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Solution

The fourth proportional to 466.30, 699.45 and 414.10 is: 621.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.30 : 699.45 = 414.10 : x
  2. Step 2: Convert to fraction form
    466.30/699.45 = 414.10/x
  3. Step 3: Cross multiply
    466.30x = 699.45 × 414.10
  4. Step 4: Simplify right side
    466.30x = 289,642.25
  5. Step 5: Solve for x
    x = 289,642.25/466.30
  6. Step 6: Final answer
    x = 621.15

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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.