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Finding the Fourth Proportional to 707.33, 1,061.25 and 317.29

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Solution

The fourth proportional to 707.33, 1,061.25 and 317.29 is: 476.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.33 : 1,061.25 = 317.29 : x
  2. Step 2: Convert to fraction form
    707.33/1,061.25 = 317.29/x
  3. Step 3: Cross multiply
    707.33x = 1,061.25 × 317.29
  4. Step 4: Simplify right side
    707.33x = 336,723.22
  5. Step 5: Solve for x
    x = 336,723.22/707.33
  6. Step 6: Final answer
    x = 476.05

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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.