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Finding the Fourth Proportional to 559.24, 838.86 and 463.72

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Solution

The fourth proportional to 559.24, 838.86 and 463.72 is: 695.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.24 : 838.86 = 463.72 : x
  2. Step 2: Convert to fraction form
    559.24/838.86 = 463.72/x
  3. Step 3: Cross multiply
    559.24x = 838.86 × 463.72
  4. Step 4: Simplify right side
    559.24x = 388,996.16
  5. Step 5: Solve for x
    x = 388,996.16/559.24
  6. Step 6: Final answer
    x = 695.58

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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.