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Finding the Fourth Proportional to 424.35, 585.63 and 258.57

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Solution

The fourth proportional to 424.35, 585.63 and 258.57 is: 356.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.35 : 585.63 = 258.57 : x
  2. Step 2: Convert to fraction form
    424.35/585.63 = 258.57/x
  3. Step 3: Cross multiply
    424.35x = 585.63 × 258.57
  4. Step 4: Simplify right side
    424.35x = 151,426.35
  5. Step 5: Solve for x
    x = 151,426.35/424.35
  6. Step 6: Final answer
    x = 356.84

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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.