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Finding the Fourth Proportional to 710.25, 1,064.64 and 299.64

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Solution

The fourth proportional to 710.25, 1,064.64 and 299.64 is: 449.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.25 : 1,064.64 = 299.64 : x
  2. Step 2: Convert to fraction form
    710.25/1,064.64 = 299.64/x
  3. Step 3: Cross multiply
    710.25x = 1,064.64 × 299.64
  4. Step 4: Simplify right side
    710.25x = 319,008.73
  5. Step 5: Solve for x
    x = 319,008.73/710.25
  6. Step 6: Final answer
    x = 449.15

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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.