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Finding the Fourth Proportional to 612.45, 844.02 and 473.00

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Solution

The fourth proportional to 612.45, 844.02 and 473.00 is: 651.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.45 : 844.02 = 473.00 : x
  2. Step 2: Convert to fraction form
    612.45/844.02 = 473.00/x
  3. Step 3: Cross multiply
    612.45x = 844.02 × 473.00
  4. Step 4: Simplify right side
    612.45x = 399,217.24
  5. Step 5: Solve for x
    x = 399,217.24/612.45
  6. Step 6: Final answer
    x = 651.84

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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.