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Finding the Fourth Proportional to 384.64, 530.77 and 244.74

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Solution

The fourth proportional to 384.64, 530.77 and 244.74 is: 337.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.64 : 530.77 = 244.74 : x
  2. Step 2: Convert to fraction form
    384.64/530.77 = 244.74/x
  3. Step 3: Cross multiply
    384.64x = 530.77 × 244.74
  4. Step 4: Simplify right side
    384.64x = 129,900.65
  5. Step 5: Solve for x
    x = 129,900.65/384.64
  6. Step 6: Final answer
    x = 337.72

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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.