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Finding the Fourth Proportional to 703.61, 970.98 and 423.80

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Solution

The fourth proportional to 703.61, 970.98 and 423.80 is: 584.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.61 : 970.98 = 423.80 : x
  2. Step 2: Convert to fraction form
    703.61/970.98 = 423.80/x
  3. Step 3: Cross multiply
    703.61x = 970.98 × 423.80
  4. Step 4: Simplify right side
    703.61x = 411,501.32
  5. Step 5: Solve for x
    x = 411,501.32/703.61
  6. Step 6: Final answer
    x = 584.84

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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.