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Finding the Fourth Proportional to 710.04, 1,065.08 and 223.13

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Solution

The fourth proportional to 710.04, 1,065.08 and 223.13 is: 334.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.04 : 1,065.08 = 223.13 : x
  2. Step 2: Convert to fraction form
    710.04/1,065.08 = 223.13/x
  3. Step 3: Cross multiply
    710.04x = 1,065.08 × 223.13
  4. Step 4: Simplify right side
    710.04x = 237,654.52
  5. Step 5: Solve for x
    x = 237,654.52/710.04
  6. Step 6: Final answer
    x = 334.70

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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.