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Finding the Fourth Proportional to 559.10, 770.72 and 393.05

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Solution

The fourth proportional to 559.10, 770.72 and 393.05 is: 541.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.10 : 770.72 = 393.05 : x
  2. Step 2: Convert to fraction form
    559.10/770.72 = 393.05/x
  3. Step 3: Cross multiply
    559.10x = 770.72 × 393.05
  4. Step 4: Simplify right side
    559.10x = 302,931.46
  5. Step 5: Solve for x
    x = 302,931.46/559.10
  6. Step 6: Final answer
    x = 541.82

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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.