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Finding the Fourth Proportional to 569.07, 854.24 and 448.20

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Solution

The fourth proportional to 569.07, 854.24 and 448.20 is: 672.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.07 : 854.24 = 448.20 : x
  2. Step 2: Convert to fraction form
    569.07/854.24 = 448.20/x
  3. Step 3: Cross multiply
    569.07x = 854.24 × 448.20
  4. Step 4: Simplify right side
    569.07x = 382,868.13
  5. Step 5: Solve for x
    x = 382,868.13/569.07
  6. Step 6: Final answer
    x = 672.80

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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.