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Finding the Fourth Proportional to 653.72, 902.34 and 405.08

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Solution

The fourth proportional to 653.72, 902.34 and 405.08 is: 559.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.72 : 902.34 = 405.08 : x
  2. Step 2: Convert to fraction form
    653.72/902.34 = 405.08/x
  3. Step 3: Cross multiply
    653.72x = 902.34 × 405.08
  4. Step 4: Simplify right side
    653.72x = 365,519.89
  5. Step 5: Solve for x
    x = 365,519.89/653.72
  6. Step 6: Final answer
    x = 559.14

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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.