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Finding the Fourth Proportional to 561.59, 840.58 and 300.94

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Solution

The fourth proportional to 561.59, 840.58 and 300.94 is: 450.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.59 : 840.58 = 300.94 : x
  2. Step 2: Convert to fraction form
    561.59/840.58 = 300.94/x
  3. Step 3: Cross multiply
    561.59x = 840.58 × 300.94
  4. Step 4: Simplify right side
    561.59x = 252,962.42
  5. Step 5: Solve for x
    x = 252,962.42/561.59
  6. Step 6: Final answer
    x = 450.44

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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.