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Finding the Fourth Proportional to 561.27, 774.55 and 384.23

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Solution

The fourth proportional to 561.27, 774.55 and 384.23 is: 530.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.27 : 774.55 = 384.23 : x
  2. Step 2: Convert to fraction form
    561.27/774.55 = 384.23/x
  3. Step 3: Cross multiply
    561.27x = 774.55 × 384.23
  4. Step 4: Simplify right side
    561.27x = 297,603.39
  5. Step 5: Solve for x
    x = 297,603.39/561.27
  6. Step 6: Final answer
    x = 530.23

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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.