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Finding the Fourth Proportional to 464.20, 696.98 and 456

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Solution

The fourth proportional to 464.20, 696.98 and 456 is: 684.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.20 : 696.98 = 456 : x
  2. Step 2: Convert to fraction form
    464.20/696.98 = 456/x
  3. Step 3: Cross multiply
    464.20x = 696.98 × 456
  4. Step 4: Simplify right side
    464.20x = 317,822.88
  5. Step 5: Solve for x
    x = 317,822.88/464.20
  6. Step 6: Final answer
    x = 684.67

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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.