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Finding the Fourth Proportional to 678.98, 937.07 and 384.24

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Solution

The fourth proportional to 678.98, 937.07 and 384.24 is: 530.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.98 : 937.07 = 384.24 : x
  2. Step 2: Convert to fraction form
    678.98/937.07 = 384.24/x
  3. Step 3: Cross multiply
    678.98x = 937.07 × 384.24
  4. Step 4: Simplify right side
    678.98x = 360,062.81
  5. Step 5: Solve for x
    x = 360,062.81/678.98
  6. Step 6: Final answer
    x = 530.30

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Why These Related Problems?

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