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Finding the Fourth Proportional to 697.39, 961.72 and 417.57

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Solution

The fourth proportional to 697.39, 961.72 and 417.57 is: 575.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.39 : 961.72 = 417.57 : x
  2. Step 2: Convert to fraction form
    697.39/961.72 = 417.57/x
  3. Step 3: Cross multiply
    697.39x = 961.72 × 417.57
  4. Step 4: Simplify right side
    697.39x = 401,580.77
  5. Step 5: Solve for x
    x = 401,580.77/697.39
  6. Step 6: Final answer
    x = 575.84

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1.5x scale

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.