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Finding the Fourth Proportional to 663.85, 916.12 and 384.10

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Solution

The fourth proportional to 663.85, 916.12 and 384.10 is: 530.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.85 : 916.12 = 384.10 : x
  2. Step 2: Convert to fraction form
    663.85/916.12 = 384.10/x
  3. Step 3: Cross multiply
    663.85x = 916.12 × 384.10
  4. Step 4: Simplify right side
    663.85x = 351,881.69
  5. Step 5: Solve for x
    x = 351,881.69/663.85
  6. Step 6: Final answer
    x = 530.06

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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.