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Finding the Fourth Proportional to 544.42, 750.92 and 434.16

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Solution

The fourth proportional to 544.42, 750.92 and 434.16 is: 598.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.42 : 750.92 = 434.16 : x
  2. Step 2: Convert to fraction form
    544.42/750.92 = 434.16/x
  3. Step 3: Cross multiply
    544.42x = 750.92 × 434.16
  4. Step 4: Simplify right side
    544.42x = 326,019.70
  5. Step 5: Solve for x
    x = 326,019.70/544.42
  6. Step 6: Final answer
    x = 598.84

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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.