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Finding the Fourth Proportional to 713.95, 984.99 and 434.08

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Solution

The fourth proportional to 713.95, 984.99 and 434.08 is: 598.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.95 : 984.99 = 434.08 : x
  2. Step 2: Convert to fraction form
    713.95/984.99 = 434.08/x
  3. Step 3: Cross multiply
    713.95x = 984.99 × 434.08
  4. Step 4: Simplify right side
    713.95x = 427,564.46
  5. Step 5: Solve for x
    x = 427,564.46/713.95
  6. Step 6: Final answer
    x = 598.87

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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.