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Finding the Fourth Proportional to 527.50, 728.00 and 294.67

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Solution

The fourth proportional to 527.50, 728.00 and 294.67 is: 406.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.50 : 728.00 = 294.67 : x
  2. Step 2: Convert to fraction form
    527.50/728.00 = 294.67/x
  3. Step 3: Cross multiply
    527.50x = 728.00 × 294.67
  4. Step 4: Simplify right side
    527.50x = 214,518.29
  5. Step 5: Solve for x
    x = 214,518.29/527.50
  6. Step 6: Final answer
    x = 406.67

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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.