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Finding the Fourth Proportional to 716.06, 988.09 and 436.16

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Solution

The fourth proportional to 716.06, 988.09 and 436.16 is: 601.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.06 : 988.09 = 436.16 : x
  2. Step 2: Convert to fraction form
    716.06/988.09 = 436.16/x
  3. Step 3: Cross multiply
    716.06x = 988.09 × 436.16
  4. Step 4: Simplify right side
    716.06x = 430,966.71
  5. Step 5: Solve for x
    x = 430,966.71/716.06
  6. Step 6: Final answer
    x = 601.86

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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.