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Finding the Fourth Proportional to 709.59, 979.23 and 433.59

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Solution

The fourth proportional to 709.59, 979.23 and 433.59 is: 598.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.59 : 979.23 = 433.59 : x
  2. Step 2: Convert to fraction form
    709.59/979.23 = 433.59/x
  3. Step 3: Cross multiply
    709.59x = 979.23 × 433.59
  4. Step 4: Simplify right side
    709.59x = 424,584.34
  5. Step 5: Solve for x
    x = 424,584.34/709.59
  6. Step 6: Final answer
    x = 598.35

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1.5x scale

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.