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Finding the Fourth Proportional to 374.95, 561.61 and 309.21

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Solution

The fourth proportional to 374.95, 561.61 and 309.21 is: 463.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.95 : 561.61 = 309.21 : x
  2. Step 2: Convert to fraction form
    374.95/561.61 = 309.21/x
  3. Step 3: Cross multiply
    374.95x = 561.61 × 309.21
  4. Step 4: Simplify right side
    374.95x = 173,655.13
  5. Step 5: Solve for x
    x = 173,655.13/374.95
  6. Step 6: Final answer
    x = 463.14

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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.