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Finding the Fourth Proportional to 623.09, 934.67 and 418.10

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Solution

The fourth proportional to 623.09, 934.67 and 418.10 is: 627.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.09 : 934.67 = 418.10 : x
  2. Step 2: Convert to fraction form
    623.09/934.67 = 418.10/x
  3. Step 3: Cross multiply
    623.09x = 934.67 × 418.10
  4. Step 4: Simplify right side
    623.09x = 390,781.90
  5. Step 5: Solve for x
    x = 390,781.90/623.09
  6. Step 6: Final answer
    x = 627.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.