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Finding the Fourth Proportional to 671.68, 924.80 and 584.32

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Solution

The fourth proportional to 671.68, 924.80 and 584.32 is: 804.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.68 : 924.80 = 584.32 : x
  2. Step 2: Convert to fraction form
    671.68/924.80 = 584.32/x
  3. Step 3: Cross multiply
    671.68x = 924.80 × 584.32
  4. Step 4: Simplify right side
    671.68x = 540,379.14
  5. Step 5: Solve for x
    x = 540,379.14/671.68
  6. Step 6: Final answer
    x = 804.52

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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.