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Finding the Fourth Proportional to 710.24, 1,065.95 and 299.67

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Solution

The fourth proportional to 710.24, 1,065.95 and 299.67 is: 449.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.24 : 1,065.95 = 299.67 : x
  2. Step 2: Convert to fraction form
    710.24/1,065.95 = 299.67/x
  3. Step 3: Cross multiply
    710.24x = 1,065.95 × 299.67
  4. Step 4: Simplify right side
    710.24x = 319,428.86
  5. Step 5: Solve for x
    x = 319,428.86/710.24
  6. Step 6: Final answer
    x = 449.75

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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.