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Finding the Fourth Proportional to 384.47, 530.58 and 218.67

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Solution

The fourth proportional to 384.47, 530.58 and 218.67 is: 301.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.47 : 530.58 = 218.67 : x
  2. Step 2: Convert to fraction form
    384.47/530.58 = 218.67/x
  3. Step 3: Cross multiply
    384.47x = 530.58 × 218.67
  4. Step 4: Simplify right side
    384.47x = 116,022.75
  5. Step 5: Solve for x
    x = 116,022.75/384.47
  6. Step 6: Final answer
    x = 301.77

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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.