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Finding the Fourth Proportional to 559.02, 771.57 and 465.51

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Solution

The fourth proportional to 559.02, 771.57 and 465.51 is: 642.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.02 : 771.57 = 465.51 : x
  2. Step 2: Convert to fraction form
    559.02/771.57 = 465.51/x
  3. Step 3: Cross multiply
    559.02x = 771.57 × 465.51
  4. Step 4: Simplify right side
    559.02x = 359,173.55
  5. Step 5: Solve for x
    x = 359,173.55/559.02
  6. Step 6: Final answer
    x = 642.51

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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.