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Finding the Fourth Proportional to 595.19, 821.39 and 346.57

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Solution

The fourth proportional to 595.19, 821.39 and 346.57 is: 478.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.19 : 821.39 = 346.57 : x
  2. Step 2: Convert to fraction form
    595.19/821.39 = 346.57/x
  3. Step 3: Cross multiply
    595.19x = 821.39 × 346.57
  4. Step 4: Simplify right side
    595.19x = 284,665.35
  5. Step 5: Solve for x
    x = 284,665.35/595.19
  6. Step 6: Final answer
    x = 478.27

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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.