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Finding the Fourth Proportional to 670.23, 924.86 and 418.11

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Solution

The fourth proportional to 670.23, 924.86 and 418.11 is: 576.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.23 : 924.86 = 418.11 : x
  2. Step 2: Convert to fraction form
    670.23/924.86 = 418.11/x
  3. Step 3: Cross multiply
    670.23x = 924.86 × 418.11
  4. Step 4: Simplify right side
    670.23x = 386,691.12
  5. Step 5: Solve for x
    x = 386,691.12/670.23
  6. Step 6: Final answer
    x = 576.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.