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Finding the Fourth Proportional to 592.41, 816.77 and 457.95

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Solution

The fourth proportional to 592.41, 816.77 and 457.95 is: 631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.41 : 816.77 = 457.95 : x
  2. Step 2: Convert to fraction form
    592.41/816.77 = 457.95/x
  3. Step 3: Cross multiply
    592.41x = 816.77 × 457.95
  4. Step 4: Simplify right side
    592.41x = 374,037.53
  5. Step 5: Solve for x
    x = 374,037.53/592.41
  6. Step 6: Final answer
    x = 631.38

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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.