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Finding the Fourth Proportional to 467.84, 645.12 and 312.32

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Solution

The fourth proportional to 467.84, 645.12 and 312.32 is: 430.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.84 : 645.12 = 312.32 : x
  2. Step 2: Convert to fraction form
    467.84/645.12 = 312.32/x
  3. Step 3: Cross multiply
    467.84x = 645.12 × 312.32
  4. Step 4: Simplify right side
    467.84x = 201,483.88
  5. Step 5: Solve for x
    x = 201,483.88/467.84
  6. Step 6: Final answer
    x = 430.67

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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.