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Finding the Fourth Proportional to 559.56, 838.62 and 468.12

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Solution

The fourth proportional to 559.56, 838.62 and 468.12 is: 701.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.56 : 838.62 = 468.12 : x
  2. Step 2: Convert to fraction form
    559.56/838.62 = 468.12/x
  3. Step 3: Cross multiply
    559.56x = 838.62 × 468.12
  4. Step 4: Simplify right side
    559.56x = 392,574.79
  5. Step 5: Solve for x
    x = 392,574.79/559.56
  6. Step 6: Final answer
    x = 701.58

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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.