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Finding the Fourth Proportional to 898.42, 1,347.93 and 378.20

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Solution

The fourth proportional to 898.42, 1,347.93 and 378.20 is: 567.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.42 : 1,347.93 = 378.20 : x
  2. Step 2: Convert to fraction form
    898.42/1,347.93 = 378.20/x
  3. Step 3: Cross multiply
    898.42x = 1,347.93 × 378.20
  4. Step 4: Simplify right side
    898.42x = 509,787.13
  5. Step 5: Solve for x
    x = 509,787.13/898.42
  6. Step 6: Final answer
    x = 567.43

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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.