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Finding the Fourth Proportional to 703.88, 971.55 and 471

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Solution

The fourth proportional to 703.88, 971.55 and 471 is: 650.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.88 : 971.55 = 471 : x
  2. Step 2: Convert to fraction form
    703.88/971.55 = 471/x
  3. Step 3: Cross multiply
    703.88x = 971.55 × 471
  4. Step 4: Simplify right side
    703.88x = 457,600.05
  5. Step 5: Solve for x
    x = 457,600.05/703.88
  6. Step 6: Final answer
    x = 650.12

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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.