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Finding the Fourth Proportional to 565.54, 780.07 and 460.64

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Solution

The fourth proportional to 565.54, 780.07 and 460.64 is: 635.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.54 : 780.07 = 460.64 : x
  2. Step 2: Convert to fraction form
    565.54/780.07 = 460.64/x
  3. Step 3: Cross multiply
    565.54x = 780.07 × 460.64
  4. Step 4: Simplify right side
    565.54x = 359,328.07
  5. Step 5: Solve for x
    x = 359,328.07/565.54
  6. Step 6: Final answer
    x = 635.37

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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.