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Finding the Fourth Proportional to 582.11, 803.69 and 405.01

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Solution

The fourth proportional to 582.11, 803.69 and 405.01 is: 559.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.11 : 803.69 = 405.01 : x
  2. Step 2: Convert to fraction form
    582.11/803.69 = 405.01/x
  3. Step 3: Cross multiply
    582.11x = 803.69 × 405.01
  4. Step 4: Simplify right side
    582.11x = 325,502.49
  5. Step 5: Solve for x
    x = 325,502.49/582.11
  6. Step 6: Final answer
    x = 559.18

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