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Finding the Fourth Proportional to 902.58, 1,354.42 and 415.67

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Solution

The fourth proportional to 902.58, 1,354.42 and 415.67 is: 623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.58 : 1,354.42 = 415.67 : x
  2. Step 2: Convert to fraction form
    902.58/1,354.42 = 415.67/x
  3. Step 3: Cross multiply
    902.58x = 1,354.42 × 415.67
  4. Step 4: Simplify right side
    902.58x = 562,985.51
  5. Step 5: Solve for x
    x = 562,985.51/902.58
  6. Step 6: Final answer
    x = 623.75

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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.