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Finding the Fourth Proportional to 561.06, 773.64 and 429.84

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Solution

The fourth proportional to 561.06, 773.64 and 429.84 is: 592.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.06 : 773.64 = 429.84 : x
  2. Step 2: Convert to fraction form
    561.06/773.64 = 429.84/x
  3. Step 3: Cross multiply
    561.06x = 773.64 × 429.84
  4. Step 4: Simplify right side
    561.06x = 332,541.42
  5. Step 5: Solve for x
    x = 332,541.42/561.06
  6. Step 6: Final answer
    x = 592.70

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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.