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Finding the Fourth Proportional to 903.98, 1,354.75 and 415.96

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Solution

The fourth proportional to 903.98, 1,354.75 and 415.96 is: 623.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.98 : 1,354.75 = 415.96 : x
  2. Step 2: Convert to fraction form
    903.98/1,354.75 = 415.96/x
  3. Step 3: Cross multiply
    903.98x = 1,354.75 × 415.96
  4. Step 4: Simplify right side
    903.98x = 563,521.81
  5. Step 5: Solve for x
    x = 563,521.81/903.98
  6. Step 6: Final answer
    x = 623.38

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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.