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Finding the Fourth Proportional to 527.94, 787.83 and 473.25

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Solution

The fourth proportional to 527.94, 787.83 and 473.25 is: 706.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.94 : 787.83 = 473.25 : x
  2. Step 2: Convert to fraction form
    527.94/787.83 = 473.25/x
  3. Step 3: Cross multiply
    527.94x = 787.83 × 473.25
  4. Step 4: Simplify right side
    527.94x = 372,840.55
  5. Step 5: Solve for x
    x = 372,840.55/527.94
  6. Step 6: Final answer
    x = 706.22

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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.