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Finding the Fourth Proportional to 585.82, 876.84 and 403.12

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Solution

The fourth proportional to 585.82, 876.84 and 403.12 is: 603.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.82 : 876.84 = 403.12 : x
  2. Step 2: Convert to fraction form
    585.82/876.84 = 403.12/x
  3. Step 3: Cross multiply
    585.82x = 876.84 × 403.12
  4. Step 4: Simplify right side
    585.82x = 353,471.74
  5. Step 5: Solve for x
    x = 353,471.74/585.82
  6. Step 6: Final answer
    x = 603.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.