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Finding the Fourth Proportional to 585.26, 873.63 and 541.82

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Solution

The fourth proportional to 585.26, 873.63 and 541.82 is: 808.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.26 : 873.63 = 541.82 : x
  2. Step 2: Convert to fraction form
    585.26/873.63 = 541.82/x
  3. Step 3: Cross multiply
    585.26x = 873.63 × 541.82
  4. Step 4: Simplify right side
    585.26x = 473,347.50
  5. Step 5: Solve for x
    x = 473,347.50/585.26
  6. Step 6: Final answer
    x = 808.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.