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Finding the Fourth Proportional to 406.07, 560.29 and 258.92

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Solution

The fourth proportional to 406.07, 560.29 and 258.92 is: 357.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.07 : 560.29 = 258.92 : x
  2. Step 2: Convert to fraction form
    406.07/560.29 = 258.92/x
  3. Step 3: Cross multiply
    406.07x = 560.29 × 258.92
  4. Step 4: Simplify right side
    406.07x = 145,070.29
  5. Step 5: Solve for x
    x = 145,070.29/406.07
  6. Step 6: Final answer
    x = 357.25

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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.