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Finding the Fourth Proportional to 384.72, 530.62 and 301.76

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Solution

The fourth proportional to 384.72, 530.62 and 301.76 is: 416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.72 : 530.62 = 301.76 : x
  2. Step 2: Convert to fraction form
    384.72/530.62 = 301.76/x
  3. Step 3: Cross multiply
    384.72x = 530.62 × 301.76
  4. Step 4: Simplify right side
    384.72x = 160,119.89
  5. Step 5: Solve for x
    x = 160,119.89/384.72
  6. Step 6: Final answer
    x = 416.20

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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.