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Finding the Fourth Proportional to 581.16, 866.73 and 563.40

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Solution

The fourth proportional to 581.16, 866.73 and 563.40 is: 840.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.16 : 866.73 = 563.40 : x
  2. Step 2: Convert to fraction form
    581.16/866.73 = 563.40/x
  3. Step 3: Cross multiply
    581.16x = 866.73 × 563.40
  4. Step 4: Simplify right side
    581.16x = 488,315.68
  5. Step 5: Solve for x
    x = 488,315.68/581.16
  6. Step 6: Final answer
    x = 840.24

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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.