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Finding the Fourth Proportional to 538.22, 803.34 and 476.66

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Solution

The fourth proportional to 538.22, 803.34 and 476.66 is: 711.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.22 : 803.34 = 476.66 : x
  2. Step 2: Convert to fraction form
    538.22/803.34 = 476.66/x
  3. Step 3: Cross multiply
    538.22x = 803.34 × 476.66
  4. Step 4: Simplify right side
    538.22x = 382,916.03
  5. Step 5: Solve for x
    x = 382,916.03/538.22
  6. Step 6: Final answer
    x = 711.46

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Why These Related Problems?

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