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Finding the Fourth Proportional to 663.98, 916.33 and 384.20

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Solution

The fourth proportional to 663.98, 916.33 and 384.20 is: 530.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.98 : 916.33 = 384.20 : x
  2. Step 2: Convert to fraction form
    663.98/916.33 = 384.20/x
  3. Step 3: Cross multiply
    663.98x = 916.33 × 384.20
  4. Step 4: Simplify right side
    663.98x = 352,055.32
  5. Step 5: Solve for x
    x = 352,055.32/663.98
  6. Step 6: Final answer
    x = 530.22

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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.