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Finding the Fourth Proportional to 563.84, 776.76 and 388.88

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Solution

The fourth proportional to 563.84, 776.76 and 388.88 is: 535.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.84 : 776.76 = 388.88 : x
  2. Step 2: Convert to fraction form
    563.84/776.76 = 388.88/x
  3. Step 3: Cross multiply
    563.84x = 776.76 × 388.88
  4. Step 4: Simplify right side
    563.84x = 302,066.43
  5. Step 5: Solve for x
    x = 302,066.43/563.84
  6. Step 6: Final answer
    x = 535.73

Related Problems

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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.