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Finding the Fourth Proportional to 652.64, 978.93 and 190.40

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Solution

The fourth proportional to 652.64, 978.93 and 190.40 is: 285.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.64 : 978.93 = 190.40 : x
  2. Step 2: Convert to fraction form
    652.64/978.93 = 190.40/x
  3. Step 3: Cross multiply
    652.64x = 978.93 × 190.40
  4. Step 4: Simplify right side
    652.64x = 186,383.38
  5. Step 5: Solve for x
    x = 186,383.38/652.64
  6. Step 6: Final answer
    x = 285.59

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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.