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Finding the Fourth Proportional to 423.91, 585.26 and 291.35

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Solution

The fourth proportional to 423.91, 585.26 and 291.35 is: 402.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.91 : 585.26 = 291.35 : x
  2. Step 2: Convert to fraction form
    423.91/585.26 = 291.35/x
  3. Step 3: Cross multiply
    423.91x = 585.26 × 291.35
  4. Step 4: Simplify right side
    423.91x = 170,518.24
  5. Step 5: Solve for x
    x = 170,518.24/423.91
  6. Step 6: Final answer
    x = 402.25

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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.