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Finding the Fourth Proportional to 594, 884.70 and 563.16

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Solution

The fourth proportional to 594, 884.70 and 563.16 is: 838.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    594 : 884.70 = 563.16 : x
  2. Step 2: Convert to fraction form
    594/884.70 = 563.16/x
  3. Step 3: Cross multiply
    594x = 884.70 × 563.16
  4. Step 4: Simplify right side
    594x = 498,227.65
  5. Step 5: Solve for x
    x = 498,227.65/594
  6. Step 6: Final answer
    x = 838.77

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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.