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Finding the Fourth Proportional to 612.16, 844.59 and 346.57

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Solution

The fourth proportional to 612.16, 844.59 and 346.57 is: 478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.16 : 844.59 = 346.57 : x
  2. Step 2: Convert to fraction form
    612.16/844.59 = 346.57/x
  3. Step 3: Cross multiply
    612.16x = 844.59 × 346.57
  4. Step 4: Simplify right side
    612.16x = 292,709.66
  5. Step 5: Solve for x
    x = 292,709.66/612.16
  6. Step 6: Final answer
    x = 478.16

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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.