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Finding the Fourth Proportional to 653.64, 978.24 and 410

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Solution

The fourth proportional to 653.64, 978.24 and 410 is: 613.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.64 : 978.24 = 410 : x
  2. Step 2: Convert to fraction form
    653.64/978.24 = 410/x
  3. Step 3: Cross multiply
    653.64x = 978.24 × 410
  4. Step 4: Simplify right side
    653.64x = 401,078.40
  5. Step 5: Solve for x
    x = 401,078.40/653.64
  6. Step 6: Final answer
    x = 613.61

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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.