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Finding the Fourth Proportional to 710.42, 1,064.91 and 299.66

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Solution

The fourth proportional to 710.42, 1,064.91 and 299.66 is: 449.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.42 : 1,064.91 = 299.66 : x
  2. Step 2: Convert to fraction form
    710.42/1,064.91 = 299.66/x
  3. Step 3: Cross multiply
    710.42x = 1,064.91 × 299.66
  4. Step 4: Simplify right side
    710.42x = 319,110.93
  5. Step 5: Solve for x
    x = 319,110.93/710.42
  6. Step 6: Final answer
    x = 449.19

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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.