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Finding the Fourth Proportional to 653.13, 978.89 and 287.42

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Solution

The fourth proportional to 653.13, 978.89 and 287.42 is: 430.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.13 : 978.89 = 287.42 : x
  2. Step 2: Convert to fraction form
    653.13/978.89 = 287.42/x
  3. Step 3: Cross multiply
    653.13x = 978.89 × 287.42
  4. Step 4: Simplify right side
    653.13x = 281,346.23
  5. Step 5: Solve for x
    x = 281,346.23/653.13
  6. Step 6: Final answer
    x = 430.77

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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.