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Finding the Fourth Proportional to 582.34, 803.99 and 405.24

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Solution

The fourth proportional to 582.34, 803.99 and 405.24 is: 559.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.34 : 803.99 = 405.24 : x
  2. Step 2: Convert to fraction form
    582.34/803.99 = 405.24/x
  3. Step 3: Cross multiply
    582.34x = 803.99 × 405.24
  4. Step 4: Simplify right side
    582.34x = 325,808.91
  5. Step 5: Solve for x
    x = 325,808.91/582.34
  6. Step 6: Final answer
    x = 559.48

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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.