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Finding the Fourth Proportional to 703.90, 970.48 and 464.59

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Solution

The fourth proportional to 703.90, 970.48 and 464.59 is: 640.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.90 : 970.48 = 464.59 : x
  2. Step 2: Convert to fraction form
    703.90/970.48 = 464.59/x
  3. Step 3: Cross multiply
    703.90x = 970.48 × 464.59
  4. Step 4: Simplify right side
    703.90x = 450,875.30
  5. Step 5: Solve for x
    x = 450,875.30/703.90
  6. Step 6: Final answer
    x = 640.54

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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.