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Finding the Fourth Proportional to 328.88, 493.63 and 309.04

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Solution

The fourth proportional to 328.88, 493.63 and 309.04 is: 463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.88 : 493.63 = 309.04 : x
  2. Step 2: Convert to fraction form
    328.88/493.63 = 309.04/x
  3. Step 3: Cross multiply
    328.88x = 493.63 × 309.04
  4. Step 4: Simplify right side
    328.88x = 152,549.41
  5. Step 5: Solve for x
    x = 152,549.41/328.88
  6. Step 6: Final answer
    x = 463.84

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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.