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Finding the Fourth Proportional to 556.95, 835.34 and 306.86

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Solution

The fourth proportional to 556.95, 835.34 and 306.86 is: 460.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.95 : 835.34 = 306.86 : x
  2. Step 2: Convert to fraction form
    556.95/835.34 = 306.86/x
  3. Step 3: Cross multiply
    556.95x = 835.34 × 306.86
  4. Step 4: Simplify right side
    556.95x = 256,332.43
  5. Step 5: Solve for x
    x = 256,332.43/556.95
  6. Step 6: Final answer
    x = 460.25

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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.