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Finding the Fourth Proportional to 399.84, 597.42 and 306.78

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Solution

The fourth proportional to 399.84, 597.42 and 306.78 is: 458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.84 : 597.42 = 306.78 : x
  2. Step 2: Convert to fraction form
    399.84/597.42 = 306.78/x
  3. Step 3: Cross multiply
    399.84x = 597.42 × 306.78
  4. Step 4: Simplify right side
    399.84x = 183,276.51
  5. Step 5: Solve for x
    x = 183,276.51/399.84
  6. Step 6: Final answer
    x = 458.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.