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Finding the Fourth Proportional to 425.10, 585.93 and 293.82

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Solution

The fourth proportional to 425.10, 585.93 and 293.82 is: 404.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.10 : 585.93 = 293.82 : x
  2. Step 2: Convert to fraction form
    425.10/585.93 = 293.82/x
  3. Step 3: Cross multiply
    425.10x = 585.93 × 293.82
  4. Step 4: Simplify right side
    425.10x = 172,157.95
  5. Step 5: Solve for x
    x = 172,157.95/425.10
  6. Step 6: Final answer
    x = 404.98

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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.