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Finding the Fourth Proportional to 435.86, 650.78 and 392.14

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Solution

The fourth proportional to 435.86, 650.78 and 392.14 is: 585.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.86 : 650.78 = 392.14 : x
  2. Step 2: Convert to fraction form
    435.86/650.78 = 392.14/x
  3. Step 3: Cross multiply
    435.86x = 650.78 × 392.14
  4. Step 4: Simplify right side
    435.86x = 255,196.22
  5. Step 5: Solve for x
    x = 255,196.22/435.86
  6. Step 6: Final answer
    x = 585.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.