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Finding the Fourth Proportional to 384.74, 530.88 and 218.91

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Solution

The fourth proportional to 384.74, 530.88 and 218.91 is: 302.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.74 : 530.88 = 218.91 : x
  2. Step 2: Convert to fraction form
    384.74/530.88 = 218.91/x
  3. Step 3: Cross multiply
    384.74x = 530.88 × 218.91
  4. Step 4: Simplify right side
    384.74x = 116,216.11
  5. Step 5: Solve for x
    x = 116,216.11/384.74
  6. Step 6: Final answer
    x = 302.07

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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.