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Finding the Fourth Proportional to 421.50, 581.16 and 297.12

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Solution

The fourth proportional to 421.50, 581.16 and 297.12 is: 409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.50 : 581.16 = 297.12 : x
  2. Step 2: Convert to fraction form
    421.50/581.16 = 297.12/x
  3. Step 3: Cross multiply
    421.50x = 581.16 × 297.12
  4. Step 4: Simplify right side
    421.50x = 172,674.26
  5. Step 5: Solve for x
    x = 172,674.26/421.50
  6. Step 6: Final answer
    x = 409.67

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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.