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Finding the Fourth Proportional to 570.98, 788.31 and 414.13

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Solution

The fourth proportional to 570.98, 788.31 and 414.13 is: 571.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.98 : 788.31 = 414.13 : x
  2. Step 2: Convert to fraction form
    570.98/788.31 = 414.13/x
  3. Step 3: Cross multiply
    570.98x = 788.31 × 414.13
  4. Step 4: Simplify right side
    570.98x = 326,462.82
  5. Step 5: Solve for x
    x = 326,462.82/570.98
  6. Step 6: Final answer
    x = 571.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.