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Finding the Fourth Proportional to 457.33, 681.65 and 442.33

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Solution

The fourth proportional to 457.33, 681.65 and 442.33 is: 659.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.33 : 681.65 = 442.33 : x
  2. Step 2: Convert to fraction form
    457.33/681.65 = 442.33/x
  3. Step 3: Cross multiply
    457.33x = 681.65 × 442.33
  4. Step 4: Simplify right side
    457.33x = 301,514.24
  5. Step 5: Solve for x
    x = 301,514.24/457.33
  6. Step 6: Final answer
    x = 659.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.