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Finding the Fourth Proportional to 585.82, 877.72 and 380.15

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Solution

The fourth proportional to 585.82, 877.72 and 380.15 is: 569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.82 : 877.72 = 380.15 : x
  2. Step 2: Convert to fraction form
    585.82/877.72 = 380.15/x
  3. Step 3: Cross multiply
    585.82x = 877.72 × 380.15
  4. Step 4: Simplify right side
    585.82x = 333,665.26
  5. Step 5: Solve for x
    x = 333,665.26/585.82
  6. Step 6: Final answer
    x = 569.57

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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.