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Finding the Fourth Proportional to 710.53, 980.63 and 430.87

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Solution

The fourth proportional to 710.53, 980.63 and 430.87 is: 594.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.53 : 980.63 = 430.87 : x
  2. Step 2: Convert to fraction form
    710.53/980.63 = 430.87/x
  3. Step 3: Cross multiply
    710.53x = 980.63 × 430.87
  4. Step 4: Simplify right side
    710.53x = 422,523.12
  5. Step 5: Solve for x
    x = 422,523.12/710.53
  6. Step 6: Final answer
    x = 594.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.