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Finding the Fourth Proportional to 527.54, 786.97 and 466.65

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Solution

The fourth proportional to 527.54, 786.97 and 466.65 is: 696.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.54 : 786.97 = 466.65 : x
  2. Step 2: Convert to fraction form
    527.54/786.97 = 466.65/x
  3. Step 3: Cross multiply
    527.54x = 786.97 × 466.65
  4. Step 4: Simplify right side
    527.54x = 367,242.86
  5. Step 5: Solve for x
    x = 367,242.86/527.54
  6. Step 6: Final answer
    x = 696.15

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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.