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Finding the Fourth Proportional to 710, 1,065.40 and 325.24

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Solution

The fourth proportional to 710, 1,065.40 and 325.24 is: 488.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    710 : 1,065.40 = 325.24 : x
  2. Step 2: Convert to fraction form
    710/1,065.40 = 325.24/x
  3. Step 3: Cross multiply
    710x = 1,065.40 × 325.24
  4. Step 4: Simplify right side
    710x = 346,510.70
  5. Step 5: Solve for x
    x = 346,510.70/710
  6. Step 6: Final answer
    x = 488.04

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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.