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Finding the Fourth Proportional to 710.10, 1,065.29 and 223.18

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Solution

The fourth proportional to 710.10, 1,065.29 and 223.18 is: 334.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.10 : 1,065.29 = 223.18 : x
  2. Step 2: Convert to fraction form
    710.10/1,065.29 = 223.18/x
  3. Step 3: Cross multiply
    710.10x = 1,065.29 × 223.18
  4. Step 4: Simplify right side
    710.10x = 237,747.64
  5. Step 5: Solve for x
    x = 237,747.64/710.10
  6. Step 6: Final answer
    x = 334.81

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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.