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Finding the Fourth Proportional to 612.71, 844.96 and 403.06

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Solution

The fourth proportional to 612.71, 844.96 and 403.06 is: 555.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.71 : 844.96 = 403.06 : x
  2. Step 2: Convert to fraction form
    612.71/844.96 = 403.06/x
  3. Step 3: Cross multiply
    612.71x = 844.96 × 403.06
  4. Step 4: Simplify right side
    612.71x = 340,569.67
  5. Step 5: Solve for x
    x = 340,569.67/612.71
  6. Step 6: Final answer
    x = 555.84

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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.