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Finding the Fourth Proportional to 703.65, 970.77 and 423.98

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Solution

The fourth proportional to 703.65, 970.77 and 423.98 is: 584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.65 : 970.77 = 423.98 : x
  2. Step 2: Convert to fraction form
    703.65/970.77 = 423.98/x
  3. Step 3: Cross multiply
    703.65x = 970.77 × 423.98
  4. Step 4: Simplify right side
    703.65x = 411,582.21
  5. Step 5: Solve for x
    x = 411,582.21/703.65
  6. Step 6: Final answer
    x = 584.92

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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.