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Finding the Fourth Proportional to 709.90, 979.76 and 430.14

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Solution

The fourth proportional to 709.90, 979.76 and 430.14 is: 593.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.90 : 979.76 = 430.14 : x
  2. Step 2: Convert to fraction form
    709.90/979.76 = 430.14/x
  3. Step 3: Cross multiply
    709.90x = 979.76 × 430.14
  4. Step 4: Simplify right side
    709.90x = 421,428.63
  5. Step 5: Solve for x
    x = 421,428.63/709.90
  6. Step 6: Final answer
    x = 593.64

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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.