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Finding the Fourth Proportional to 709.32, 978.58 and 433.48

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Solution

The fourth proportional to 709.32, 978.58 and 433.48 is: 598.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.32 : 978.58 = 433.48 : x
  2. Step 2: Convert to fraction form
    709.32/978.58 = 433.48/x
  3. Step 3: Cross multiply
    709.32x = 978.58 × 433.48
  4. Step 4: Simplify right side
    709.32x = 424,194.86
  5. Step 5: Solve for x
    x = 424,194.86/709.32
  6. Step 6: Final answer
    x = 598.03

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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.