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Finding the Fourth Proportional to 585.34, 877.11 and 296.26

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Solution

The fourth proportional to 585.34, 877.11 and 296.26 is: 443.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.34 : 877.11 = 296.26 : x
  2. Step 2: Convert to fraction form
    585.34/877.11 = 296.26/x
  3. Step 3: Cross multiply
    585.34x = 877.11 × 296.26
  4. Step 4: Simplify right side
    585.34x = 259,852.61
  5. Step 5: Solve for x
    x = 259,852.61/585.34
  6. Step 6: Final answer
    x = 443.93

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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.