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Finding the Fourth Proportional to 561.83, 841.59 and 469.56

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Solution

The fourth proportional to 561.83, 841.59 and 469.56 is: 703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.83 : 841.59 = 469.56 : x
  2. Step 2: Convert to fraction form
    561.83/841.59 = 469.56/x
  3. Step 3: Cross multiply
    561.83x = 841.59 × 469.56
  4. Step 4: Simplify right side
    561.83x = 395,177.00
  5. Step 5: Solve for x
    x = 395,177.00/561.83
  6. Step 6: Final answer
    x = 703.38

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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.