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Finding the Fourth Proportional to 561.33, 841.86 and 470.07

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Solution

The fourth proportional to 561.33, 841.86 and 470.07 is: 704.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.33 : 841.86 = 470.07 : x
  2. Step 2: Convert to fraction form
    561.33/841.86 = 470.07/x
  3. Step 3: Cross multiply
    561.33x = 841.86 × 470.07
  4. Step 4: Simplify right side
    561.33x = 395,733.13
  5. Step 5: Solve for x
    x = 395,733.13/561.33
  6. Step 6: Final answer
    x = 704.99

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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.