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Finding the Fourth Proportional to 553.07, 762.38 and 412.97

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Solution

The fourth proportional to 553.07, 762.38 and 412.97 is: 569.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.07 : 762.38 = 412.97 : x
  2. Step 2: Convert to fraction form
    553.07/762.38 = 412.97/x
  3. Step 3: Cross multiply
    553.07x = 762.38 × 412.97
  4. Step 4: Simplify right side
    553.07x = 314,839.91
  5. Step 5: Solve for x
    x = 314,839.91/553.07
  6. Step 6: Final answer
    x = 569.26

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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.