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Finding the Fourth Proportional to 556.46, 832.85 and 309.28

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Solution

The fourth proportional to 556.46, 832.85 and 309.28 is: 462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.46 : 832.85 = 309.28 : x
  2. Step 2: Convert to fraction form
    556.46/832.85 = 309.28/x
  3. Step 3: Cross multiply
    556.46x = 832.85 × 309.28
  4. Step 4: Simplify right side
    556.46x = 257,583.85
  5. Step 5: Solve for x
    x = 257,583.85/556.46
  6. Step 6: Final answer
    x = 462.90

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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.