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Finding the Fourth Proportional to 416.68, 624.53 and 279.68

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Solution

The fourth proportional to 416.68, 624.53 and 279.68 is: 419.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.68 : 624.53 = 279.68 : x
  2. Step 2: Convert to fraction form
    416.68/624.53 = 279.68/x
  3. Step 3: Cross multiply
    416.68x = 624.53 × 279.68
  4. Step 4: Simplify right side
    416.68x = 174,666.13
  5. Step 5: Solve for x
    x = 174,666.13/416.68
  6. Step 6: Final answer
    x = 419.19

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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.