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Finding the Fourth Proportional to 585.40, 877.82 and 342

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Solution

The fourth proportional to 585.40, 877.82 and 342 is: 512.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.40 : 877.82 = 342 : x
  2. Step 2: Convert to fraction form
    585.40/877.82 = 342/x
  3. Step 3: Cross multiply
    585.40x = 877.82 × 342
  4. Step 4: Simplify right side
    585.40x = 300,214.44
  5. Step 5: Solve for x
    x = 300,214.44/585.40
  6. Step 6: Final answer
    x = 512.84

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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.