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Finding the Fourth Proportional to 438.99, 657.36 and 341.16

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Solution

The fourth proportional to 438.99, 657.36 and 341.16 is: 510.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.99 : 657.36 = 341.16 : x
  2. Step 2: Convert to fraction form
    438.99/657.36 = 341.16/x
  3. Step 3: Cross multiply
    438.99x = 657.36 × 341.16
  4. Step 4: Simplify right side
    438.99x = 224,264.94
  5. Step 5: Solve for x
    x = 224,264.94/438.99
  6. Step 6: Final answer
    x = 510.87

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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.