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Finding the Fourth Proportional to 561.63, 841.59 and 287.79

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Solution

The fourth proportional to 561.63, 841.59 and 287.79 is: 431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.63 : 841.59 = 287.79 : x
  2. Step 2: Convert to fraction form
    561.63/841.59 = 287.79/x
  3. Step 3: Cross multiply
    561.63x = 841.59 × 287.79
  4. Step 4: Simplify right side
    561.63x = 242,201.19
  5. Step 5: Solve for x
    x = 242,201.19/561.63
  6. Step 6: Final answer
    x = 431.25

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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.