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Finding the Fourth Proportional to 712, 982.23 and 417.13

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Solution

The fourth proportional to 712, 982.23 and 417.13 is: 575.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    712 : 982.23 = 417.13 : x
  2. Step 2: Convert to fraction form
    712/982.23 = 417.13/x
  3. Step 3: Cross multiply
    712x = 982.23 × 417.13
  4. Step 4: Simplify right side
    712x = 409,717.60
  5. Step 5: Solve for x
    x = 409,717.60/712
  6. Step 6: Final answer
    x = 575.45

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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.