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Finding the Fourth Proportional to 584.76, 876.78 and 341.16

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Solution

The fourth proportional to 584.76, 876.78 and 341.16 is: 511.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.76 : 876.78 = 341.16 : x
  2. Step 2: Convert to fraction form
    584.76/876.78 = 341.16/x
  3. Step 3: Cross multiply
    584.76x = 876.78 × 341.16
  4. Step 4: Simplify right side
    584.76x = 299,122.26
  5. Step 5: Solve for x
    x = 299,122.26/584.76
  6. Step 6: Final answer
    x = 511.53

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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.