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Finding the Fourth Proportional to 897.11, 1,344.94 and 384.47

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Solution

The fourth proportional to 897.11, 1,344.94 and 384.47 is: 576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.11 : 1,344.94 = 384.47 : x
  2. Step 2: Convert to fraction form
    897.11/1,344.94 = 384.47/x
  3. Step 3: Cross multiply
    897.11x = 1,344.94 × 384.47
  4. Step 4: Simplify right side
    897.11x = 517,089.08
  5. Step 5: Solve for x
    x = 517,089.08/897.11
  6. Step 6: Final answer
    x = 576.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.