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Finding the Fourth Proportional to 595.36, 821.66 and 346.68

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Solution

The fourth proportional to 595.36, 821.66 and 346.68 is: 478.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.36 : 821.66 = 346.68 : x
  2. Step 2: Convert to fraction form
    595.36/821.66 = 346.68/x
  3. Step 3: Cross multiply
    595.36x = 821.66 × 346.68
  4. Step 4: Simplify right side
    595.36x = 284,853.09
  5. Step 5: Solve for x
    x = 284,853.09/595.36
  6. Step 6: Final answer
    x = 478.46

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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.