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Finding the Fourth Proportional to 594.58, 893.50 and 306.22

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Solution

The fourth proportional to 594.58, 893.50 and 306.22 is: 460.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.58 : 893.50 = 306.22 : x
  2. Step 2: Convert to fraction form
    594.58/893.50 = 306.22/x
  3. Step 3: Cross multiply
    594.58x = 893.50 × 306.22
  4. Step 4: Simplify right side
    594.58x = 273,607.57
  5. Step 5: Solve for x
    x = 273,607.57/594.58
  6. Step 6: Final answer
    x = 460.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.