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Finding the Fourth Proportional to 467.76, 646.20 and 410.16

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Solution

The fourth proportional to 467.76, 646.20 and 410.16 is: 566.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.76 : 646.20 = 410.16 : x
  2. Step 2: Convert to fraction form
    467.76/646.20 = 410.16/x
  3. Step 3: Cross multiply
    467.76x = 646.20 × 410.16
  4. Step 4: Simplify right side
    467.76x = 265,045.39
  5. Step 5: Solve for x
    x = 265,045.39/467.76
  6. Step 6: Final answer
    x = 566.63

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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.