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Finding the Fourth Proportional to 406.07, 560.47 and 258.68

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Solution

The fourth proportional to 406.07, 560.47 and 258.68 is: 357.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.07 : 560.47 = 258.68 : x
  2. Step 2: Convert to fraction form
    406.07/560.47 = 258.68/x
  3. Step 3: Cross multiply
    406.07x = 560.47 × 258.68
  4. Step 4: Simplify right side
    406.07x = 144,982.38
  5. Step 5: Solve for x
    x = 144,982.38/406.07
  6. Step 6: Final answer
    x = 357.04

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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.