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Finding the Fourth Proportional to 703.16, 970.28 and 423.50

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Solution

The fourth proportional to 703.16, 970.28 and 423.50 is: 584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.16 : 970.28 = 423.50 : x
  2. Step 2: Convert to fraction form
    703.16/970.28 = 423.50/x
  3. Step 3: Cross multiply
    703.16x = 970.28 × 423.50
  4. Step 4: Simplify right side
    703.16x = 410,916.39
  5. Step 5: Solve for x
    x = 410,916.39/703.16
  6. Step 6: Final answer
    x = 584.39

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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.