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Finding the Fourth Proportional to 374.96, 561.80 and 314.01

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Solution

The fourth proportional to 374.96, 561.80 and 314.01 is: 470.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.96 : 561.80 = 314.01 : x
  2. Step 2: Convert to fraction form
    374.96/561.80 = 314.01/x
  3. Step 3: Cross multiply
    374.96x = 561.80 × 314.01
  4. Step 4: Simplify right side
    374.96x = 176,411.60
  5. Step 5: Solve for x
    x = 176,411.60/374.96
  6. Step 6: Final answer
    x = 470.48

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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.