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Finding the Fourth Proportional to 710.20, 1,065.24 and 315.06

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Solution

The fourth proportional to 710.20, 1,065.24 and 315.06 is: 472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.20 : 1,065.24 = 315.06 : x
  2. Step 2: Convert to fraction form
    710.20/1,065.24 = 315.06/x
  3. Step 3: Cross multiply
    710.20x = 1,065.24 × 315.06
  4. Step 4: Simplify right side
    710.20x = 335,614.51
  5. Step 5: Solve for x
    x = 335,614.51/710.20
  6. Step 6: Final answer
    x = 472.56

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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.