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Finding the Fourth Proportional to 595.16, 821.44 and 346.54

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Solution

The fourth proportional to 595.16, 821.44 and 346.54 is: 478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.16 : 821.44 = 346.54 : x
  2. Step 2: Convert to fraction form
    595.16/821.44 = 346.54/x
  3. Step 3: Cross multiply
    595.16x = 821.44 × 346.54
  4. Step 4: Simplify right side
    595.16x = 284,661.82
  5. Step 5: Solve for x
    x = 284,661.82/595.16
  6. Step 6: Final answer
    x = 478.29

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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.