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Finding the Fourth Proportional to 423.91, 585.08 and 258.13

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Solution

The fourth proportional to 423.91, 585.08 and 258.13 is: 356.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.91 : 585.08 = 258.13 : x
  2. Step 2: Convert to fraction form
    423.91/585.08 = 258.13/x
  3. Step 3: Cross multiply
    423.91x = 585.08 × 258.13
  4. Step 4: Simplify right side
    423.91x = 151,024.42
  5. Step 5: Solve for x
    x = 151,024.42/423.91
  6. Step 6: Final answer
    x = 356.27

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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.