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Finding the Fourth Proportional to 491.64, 736.16 and 414.75

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Solution

The fourth proportional to 491.64, 736.16 and 414.75 is: 621.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.64 : 736.16 = 414.75 : x
  2. Step 2: Convert to fraction form
    491.64/736.16 = 414.75/x
  3. Step 3: Cross multiply
    491.64x = 736.16 × 414.75
  4. Step 4: Simplify right side
    491.64x = 305,320.29
  5. Step 5: Solve for x
    x = 305,320.29/491.64
  6. Step 6: Final answer
    x = 621.02

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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.