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Finding the Fourth Proportional to 663.93, 916.09 and 384.10

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Solution

The fourth proportional to 663.93, 916.09 and 384.10 is: 529.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.93 : 916.09 = 384.10 : x
  2. Step 2: Convert to fraction form
    663.93/916.09 = 384.10/x
  3. Step 3: Cross multiply
    663.93x = 916.09 × 384.10
  4. Step 4: Simplify right side
    663.93x = 351,866.92
  5. Step 5: Solve for x
    x = 351,866.92/663.93
  6. Step 6: Final answer
    x = 529.98

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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.