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Finding the Fourth Proportional to 711.84, 982.64 and 417.20

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Solution

The fourth proportional to 711.84, 982.64 and 417.20 is: 575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.84 : 982.64 = 417.20 : x
  2. Step 2: Convert to fraction form
    711.84/982.64 = 417.20/x
  3. Step 3: Cross multiply
    711.84x = 982.64 × 417.20
  4. Step 4: Simplify right side
    711.84x = 409,957.41
  5. Step 5: Solve for x
    x = 409,957.41/711.84
  6. Step 6: Final answer
    x = 575.91

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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.