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Finding the Fourth Proportional to 561.04, 774.40 and 354.16

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Solution

The fourth proportional to 561.04, 774.40 and 354.16 is: 488.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.04 : 774.40 = 354.16 : x
  2. Step 2: Convert to fraction form
    561.04/774.40 = 354.16/x
  3. Step 3: Cross multiply
    561.04x = 774.40 × 354.16
  4. Step 4: Simplify right side
    561.04x = 274,261.50
  5. Step 5: Solve for x
    x = 274,261.50/561.04
  6. Step 6: Final answer
    x = 488.84

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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.