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Finding the Fourth Proportional to 903.38, 1,354.46 and 416.16

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Solution

The fourth proportional to 903.38, 1,354.46 and 416.16 is: 623.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.38 : 1,354.46 = 416.16 : x
  2. Step 2: Convert to fraction form
    903.38/1,354.46 = 416.16/x
  3. Step 3: Cross multiply
    903.38x = 1,354.46 × 416.16
  4. Step 4: Simplify right side
    903.38x = 563,669.99
  5. Step 5: Solve for x
    x = 563,669.99/903.38
  6. Step 6: Final answer
    x = 623.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.