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Finding the Fourth Proportional to 710.11, 979.98 and 430.40

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Solution

The fourth proportional to 710.11, 979.98 and 430.40 is: 593.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.11 : 979.98 = 430.40 : x
  2. Step 2: Convert to fraction form
    710.11/979.98 = 430.40/x
  3. Step 3: Cross multiply
    710.11x = 979.98 × 430.40
  4. Step 4: Simplify right side
    710.11x = 421,783.39
  5. Step 5: Solve for x
    x = 421,783.39/710.11
  6. Step 6: Final answer
    x = 593.97

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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.