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Finding the Fourth Proportional to 524.93, 787.78 and 264.92

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Solution

The fourth proportional to 524.93, 787.78 and 264.92 is: 397.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.93 : 787.78 = 264.92 : x
  2. Step 2: Convert to fraction form
    524.93/787.78 = 264.92/x
  3. Step 3: Cross multiply
    524.93x = 787.78 × 264.92
  4. Step 4: Simplify right side
    524.93x = 208,698.01
  5. Step 5: Solve for x
    x = 208,698.01/524.93
  6. Step 6: Final answer
    x = 397.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.