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Finding the Fourth Proportional to 582.06, 803.06 and 416.28

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Solution

The fourth proportional to 582.06, 803.06 and 416.28 is: 574.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.06 : 803.06 = 416.28 : x
  2. Step 2: Convert to fraction form
    582.06/803.06 = 416.28/x
  3. Step 3: Cross multiply
    582.06x = 803.06 × 416.28
  4. Step 4: Simplify right side
    582.06x = 334,297.82
  5. Step 5: Solve for x
    x = 334,297.82/582.06
  6. Step 6: Final answer
    x = 574.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.