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Finding the Fourth Proportional to 561.73, 774.94 and 384.40

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Solution

The fourth proportional to 561.73, 774.94 and 384.40 is: 530.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.73 : 774.94 = 384.40 : x
  2. Step 2: Convert to fraction form
    561.73/774.94 = 384.40/x
  3. Step 3: Cross multiply
    561.73x = 774.94 × 384.40
  4. Step 4: Simplify right side
    561.73x = 297,886.94
  5. Step 5: Solve for x
    x = 297,886.94/561.73
  6. Step 6: Final answer
    x = 530.30

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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.