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Finding the Fourth Proportional to 898.21, 1,347.83 and 378.17

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Solution

The fourth proportional to 898.21, 1,347.83 and 378.17 is: 567.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.21 : 1,347.83 = 378.17 : x
  2. Step 2: Convert to fraction form
    898.21/1,347.83 = 378.17/x
  3. Step 3: Cross multiply
    898.21x = 1,347.83 × 378.17
  4. Step 4: Simplify right side
    898.21x = 509,700.24
  5. Step 5: Solve for x
    x = 509,700.24/898.21
  6. Step 6: Final answer
    x = 567.47

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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.