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Finding the Fourth Proportional to 706.02, 974.46 and 469.55

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Solution

The fourth proportional to 706.02, 974.46 and 469.55 is: 648.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.02 : 974.46 = 469.55 : x
  2. Step 2: Convert to fraction form
    706.02/974.46 = 469.55/x
  3. Step 3: Cross multiply
    706.02x = 974.46 × 469.55
  4. Step 4: Simplify right side
    706.02x = 457,552.82
  5. Step 5: Solve for x
    x = 457,552.82/706.02
  6. Step 6: Final answer
    x = 648.07

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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.