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Finding the Fourth Proportional to 470.58, 649.35 and 291.10

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Solution

The fourth proportional to 470.58, 649.35 and 291.10 is: 401.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.58 : 649.35 = 291.10 : x
  2. Step 2: Convert to fraction form
    470.58/649.35 = 291.10/x
  3. Step 3: Cross multiply
    470.58x = 649.35 × 291.10
  4. Step 4: Simplify right side
    470.58x = 189,024.33
  5. Step 5: Solve for x
    x = 189,024.33/470.58
  6. Step 6: Final answer
    x = 401.68

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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.