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Finding the Fourth Proportional to 594.95, 820.80 and 346.14

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Solution

The fourth proportional to 594.95, 820.80 and 346.14 is: 477.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.95 : 820.80 = 346.14 : x
  2. Step 2: Convert to fraction form
    594.95/820.80 = 346.14/x
  3. Step 3: Cross multiply
    594.95x = 820.80 × 346.14
  4. Step 4: Simplify right side
    594.95x = 284,111.71
  5. Step 5: Solve for x
    x = 284,111.71/594.95
  6. Step 6: Final answer
    x = 477.54

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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.