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Finding the Fourth Proportional to 556.16, 833.68 and 458.56

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Solution

The fourth proportional to 556.16, 833.68 and 458.56 is: 687.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.16 : 833.68 = 458.56 : x
  2. Step 2: Convert to fraction form
    556.16/833.68 = 458.56/x
  3. Step 3: Cross multiply
    556.16x = 833.68 × 458.56
  4. Step 4: Simplify right side
    556.16x = 382,292.30
  5. Step 5: Solve for x
    x = 382,292.30/556.16
  6. Step 6: Final answer
    x = 687.38

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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.