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Finding the Fourth Proportional to 559.19, 772.59 and 465.63

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Solution

The fourth proportional to 559.19, 772.59 and 465.63 is: 643.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.19 : 772.59 = 465.63 : x
  2. Step 2: Convert to fraction form
    559.19/772.59 = 465.63/x
  3. Step 3: Cross multiply
    559.19x = 772.59 × 465.63
  4. Step 4: Simplify right side
    559.19x = 359,741.08
  5. Step 5: Solve for x
    x = 359,741.08/559.19
  6. Step 6: Final answer
    x = 643.33

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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.