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Finding the Fourth Proportional to 594.54, 818.51 and 563.76

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Solution

The fourth proportional to 594.54, 818.51 and 563.76 is: 776.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.54 : 818.51 = 563.76 : x
  2. Step 2: Convert to fraction form
    594.54/818.51 = 563.76/x
  3. Step 3: Cross multiply
    594.54x = 818.51 × 563.76
  4. Step 4: Simplify right side
    594.54x = 461,440.38
  5. Step 5: Solve for x
    x = 461,440.38/594.54
  6. Step 6: Final answer
    x = 776.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.