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Finding the Fourth Proportional to 559.65, 838.67 and 315.66

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Solution

The fourth proportional to 559.65, 838.67 and 315.66 is: 473.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.65 : 838.67 = 315.66 : x
  2. Step 2: Convert to fraction form
    559.65/838.67 = 315.66/x
  3. Step 3: Cross multiply
    559.65x = 838.67 × 315.66
  4. Step 4: Simplify right side
    559.65x = 264,733.13
  5. Step 5: Solve for x
    x = 264,733.13/559.65
  6. Step 6: Final answer
    x = 473.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.