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Finding the Fourth Proportional to 917.80, 1,375.82 and 340.52

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Solution

The fourth proportional to 917.80, 1,375.82 and 340.52 is: 510.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.80 : 1,375.82 = 340.52 : x
  2. Step 2: Convert to fraction form
    917.80/1,375.82 = 340.52/x
  3. Step 3: Cross multiply
    917.80x = 1,375.82 × 340.52
  4. Step 4: Simplify right side
    917.80x = 468,494.23
  5. Step 5: Solve for x
    x = 468,494.23/917.80
  6. Step 6: Final answer
    x = 510.45

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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.