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Finding the Fourth Proportional to 653.06, 978.28 and 305.91

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Solution

The fourth proportional to 653.06, 978.28 and 305.91 is: 458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.06 : 978.28 = 305.91 : x
  2. Step 2: Convert to fraction form
    653.06/978.28 = 305.91/x
  3. Step 3: Cross multiply
    653.06x = 978.28 × 305.91
  4. Step 4: Simplify right side
    653.06x = 299,264.87
  5. Step 5: Solve for x
    x = 299,264.87/653.06
  6. Step 6: Final answer
    x = 458.25

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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.