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Finding the Fourth Proportional to 556.04, 833.16 and 458.84

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Solution

The fourth proportional to 556.04, 833.16 and 458.84 is: 687.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.04 : 833.16 = 458.84 : x
  2. Step 2: Convert to fraction form
    556.04/833.16 = 458.84/x
  3. Step 3: Cross multiply
    556.04x = 833.16 × 458.84
  4. Step 4: Simplify right side
    556.04x = 382,287.13
  5. Step 5: Solve for x
    x = 382,287.13/556.04
  6. Step 6: Final answer
    x = 687.52

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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.