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Finding the Fourth Proportional to 468.08, 700.74 and 410.42

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Solution

The fourth proportional to 468.08, 700.74 and 410.42 is: 614.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.08 : 700.74 = 410.42 : x
  2. Step 2: Convert to fraction form
    468.08/700.74 = 410.42/x
  3. Step 3: Cross multiply
    468.08x = 700.74 × 410.42
  4. Step 4: Simplify right side
    468.08x = 287,597.71
  5. Step 5: Solve for x
    x = 287,597.71/468.08
  6. Step 6: Final answer
    x = 614.42

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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.