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Finding the Fourth Proportional to 561.63, 775.02 and 309.55

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Solution

The fourth proportional to 561.63, 775.02 and 309.55 is: 427.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.63 : 775.02 = 309.55 : x
  2. Step 2: Convert to fraction form
    561.63/775.02 = 309.55/x
  3. Step 3: Cross multiply
    561.63x = 775.02 × 309.55
  4. Step 4: Simplify right side
    561.63x = 239,905.89
  5. Step 5: Solve for x
    x = 239,905.89/561.63
  6. Step 6: Final answer
    x = 427.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.