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Finding the Fourth Proportional to 561.33, 840.63 and 456.75

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Solution

The fourth proportional to 561.33, 840.63 and 456.75 is: 684.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.33 : 840.63 = 456.75 : x
  2. Step 2: Convert to fraction form
    561.33/840.63 = 456.75/x
  3. Step 3: Cross multiply
    561.33x = 840.63 × 456.75
  4. Step 4: Simplify right side
    561.33x = 383,957.75
  5. Step 5: Solve for x
    x = 383,957.75/561.33
  6. Step 6: Final answer
    x = 684.01

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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.