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Finding the Fourth Proportional to 374.04, 561.76 and 305.71

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Solution

The fourth proportional to 374.04, 561.76 and 305.71 is: 459.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.04 : 561.76 = 305.71 : x
  2. Step 2: Convert to fraction form
    374.04/561.76 = 305.71/x
  3. Step 3: Cross multiply
    374.04x = 561.76 × 305.71
  4. Step 4: Simplify right side
    374.04x = 171,733.48
  5. Step 5: Solve for x
    x = 171,733.48/374.04
  6. Step 6: Final answer
    x = 459.13

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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.