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Finding the Fourth Proportional to 582.65, 803.22 and 416.80

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Solution

The fourth proportional to 582.65, 803.22 and 416.80 is: 574.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.65 : 803.22 = 416.80 : x
  2. Step 2: Convert to fraction form
    582.65/803.22 = 416.80/x
  3. Step 3: Cross multiply
    582.65x = 803.22 × 416.80
  4. Step 4: Simplify right side
    582.65x = 334,782.10
  5. Step 5: Solve for x
    x = 334,782.10/582.65
  6. Step 6: Final answer
    x = 574.59

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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.