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Finding the Fourth Proportional to 663.03, 914.85 and 401.06

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Solution

The fourth proportional to 663.03, 914.85 and 401.06 is: 553.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.03 : 914.85 = 401.06 : x
  2. Step 2: Convert to fraction form
    663.03/914.85 = 401.06/x
  3. Step 3: Cross multiply
    663.03x = 914.85 × 401.06
  4. Step 4: Simplify right side
    663.03x = 366,909.74
  5. Step 5: Solve for x
    x = 366,909.74/663.03
  6. Step 6: Final answer
    x = 553.38

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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.