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Finding the Fourth Proportional to 573.16, 859.42 and 317.16

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Solution

The fourth proportional to 573.16, 859.42 and 317.16 is: 475.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.16 : 859.42 = 317.16 : x
  2. Step 2: Convert to fraction form
    573.16/859.42 = 317.16/x
  3. Step 3: Cross multiply
    573.16x = 859.42 × 317.16
  4. Step 4: Simplify right side
    573.16x = 272,573.65
  5. Step 5: Solve for x
    x = 272,573.65/573.16
  6. Step 6: Final answer
    x = 475.56

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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.