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Finding the Fourth Proportional to 565.11, 780.03 and 460.12

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Solution

The fourth proportional to 565.11, 780.03 and 460.12 is: 635.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.11 : 780.03 = 460.12 : x
  2. Step 2: Convert to fraction form
    565.11/780.03 = 460.12/x
  3. Step 3: Cross multiply
    565.11x = 780.03 × 460.12
  4. Step 4: Simplify right side
    565.11x = 358,907.40
  5. Step 5: Solve for x
    x = 358,907.40/565.11
  6. Step 6: Final answer
    x = 635.11

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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.