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Finding the Fourth Proportional to 412.68, 569.76 and 307.65

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Solution

The fourth proportional to 412.68, 569.76 and 307.65 is: 424.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.68 : 569.76 = 307.65 : x
  2. Step 2: Convert to fraction form
    412.68/569.76 = 307.65/x
  3. Step 3: Cross multiply
    412.68x = 569.76 × 307.65
  4. Step 4: Simplify right side
    412.68x = 175,286.66
  5. Step 5: Solve for x
    x = 175,286.66/412.68
  6. Step 6: Final answer
    x = 424.75

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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.