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Finding the Fourth Proportional to 710.32, 1,065.58 and 299.20

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Solution

The fourth proportional to 710.32, 1,065.58 and 299.20 is: 448.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.32 : 1,065.58 = 299.20 : x
  2. Step 2: Convert to fraction form
    710.32/1,065.58 = 299.20/x
  3. Step 3: Cross multiply
    710.32x = 1,065.58 × 299.20
  4. Step 4: Simplify right side
    710.32x = 318,821.54
  5. Step 5: Solve for x
    x = 318,821.54/710.32
  6. Step 6: Final answer
    x = 448.84

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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.