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Finding the Fourth Proportional to 289.86, 432.93 and 274.08

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Solution

The fourth proportional to 289.86, 432.93 and 274.08 is: 409.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.86 : 432.93 = 274.08 : x
  2. Step 2: Convert to fraction form
    289.86/432.93 = 274.08/x
  3. Step 3: Cross multiply
    289.86x = 432.93 × 274.08
  4. Step 4: Simplify right side
    289.86x = 118,657.45
  5. Step 5: Solve for x
    x = 118,657.45/289.86
  6. Step 6: Final answer
    x = 409.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.