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Finding the Fourth Proportional to 595.26, 821.41 and 346.59

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Solution

The fourth proportional to 595.26, 821.41 and 346.59 is: 478.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.26 : 821.41 = 346.59 : x
  2. Step 2: Convert to fraction form
    595.26/821.41 = 346.59/x
  3. Step 3: Cross multiply
    595.26x = 821.41 × 346.59
  4. Step 4: Simplify right side
    595.26x = 284,690.76
  5. Step 5: Solve for x
    x = 284,690.76/595.26
  6. Step 6: Final answer
    x = 478.26

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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.