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Finding the Fourth Proportional to 577.27, 795.95 and 466.40

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Solution

The fourth proportional to 577.27, 795.95 and 466.40 is: 643.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.27 : 795.95 = 466.40 : x
  2. Step 2: Convert to fraction form
    577.27/795.95 = 466.40/x
  3. Step 3: Cross multiply
    577.27x = 795.95 × 466.40
  4. Step 4: Simplify right side
    577.27x = 371,229.50
  5. Step 5: Solve for x
    x = 371,229.50/577.27
  6. Step 6: Final answer
    x = 643.08

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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.