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Finding the Fourth Proportional to 703.66, 970.70 and 423.76

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Solution

The fourth proportional to 703.66, 970.70 and 423.76 is: 584.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.66 : 970.70 = 423.76 : x
  2. Step 2: Convert to fraction form
    703.66/970.70 = 423.76/x
  3. Step 3: Cross multiply
    703.66x = 970.70 × 423.76
  4. Step 4: Simplify right side
    703.66x = 411,343.83
  5. Step 5: Solve for x
    x = 411,343.83/703.66
  6. Step 6: Final answer
    x = 584.58

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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.