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Finding the Fourth Proportional to 710.55, 980.80 and 430.78

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Solution

The fourth proportional to 710.55, 980.80 and 430.78 is: 594.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.55 : 980.80 = 430.78 : x
  2. Step 2: Convert to fraction form
    710.55/980.80 = 430.78/x
  3. Step 3: Cross multiply
    710.55x = 980.80 × 430.78
  4. Step 4: Simplify right side
    710.55x = 422,509.02
  5. Step 5: Solve for x
    x = 422,509.02/710.55
  6. Step 6: Final answer
    x = 594.62

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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.