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Finding the Fourth Proportional to 612.00, 844.60 and 346.46

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Solution

The fourth proportional to 612.00, 844.60 and 346.46 is: 478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.00 : 844.60 = 346.46 : x
  2. Step 2: Convert to fraction form
    612.00/844.60 = 346.46/x
  3. Step 3: Cross multiply
    612.00x = 844.60 × 346.46
  4. Step 4: Simplify right side
    612.00x = 292,622.77
  5. Step 5: Solve for x
    x = 292,622.77/612.00
  6. Step 6: Final answer
    x = 478.14

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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.