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Finding the Fourth Proportional to 697, 961.54 and 417.10

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Solution

The fourth proportional to 697, 961.54 and 417.10 is: 575.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    697 : 961.54 = 417.10 : x
  2. Step 2: Convert to fraction form
    697/961.54 = 417.10/x
  3. Step 3: Cross multiply
    697x = 961.54 × 417.10
  4. Step 4: Simplify right side
    697x = 401,058.33
  5. Step 5: Solve for x
    x = 401,058.33/697
  6. Step 6: Final answer
    x = 575.41

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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.