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Finding the Fourth Proportional to 710.35, 980.66 and 430.76

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Solution

The fourth proportional to 710.35, 980.66 and 430.76 is: 594.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.35 : 980.66 = 430.76 : x
  2. Step 2: Convert to fraction form
    710.35/980.66 = 430.76/x
  3. Step 3: Cross multiply
    710.35x = 980.66 × 430.76
  4. Step 4: Simplify right side
    710.35x = 422,429.10
  5. Step 5: Solve for x
    x = 422,429.10/710.35
  6. Step 6: Final answer
    x = 594.68

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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.