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Finding the Fourth Proportional to 559.58, 838.62 and 316.31

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Solution

The fourth proportional to 559.58, 838.62 and 316.31 is: 474.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.58 : 838.62 = 316.31 : x
  2. Step 2: Convert to fraction form
    559.58/838.62 = 316.31/x
  3. Step 3: Cross multiply
    559.58x = 838.62 × 316.31
  4. Step 4: Simplify right side
    559.58x = 265,259.70
  5. Step 5: Solve for x
    x = 265,259.70/559.58
  6. Step 6: Final answer
    x = 474.04

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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.