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Finding the Fourth Proportional to 594.70, 820.77 and 346.10

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Solution

The fourth proportional to 594.70, 820.77 and 346.10 is: 477.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.70 : 820.77 = 346.10 : x
  2. Step 2: Convert to fraction form
    594.70/820.77 = 346.10/x
  3. Step 3: Cross multiply
    594.70x = 820.77 × 346.10
  4. Step 4: Simplify right side
    594.70x = 284,068.50
  5. Step 5: Solve for x
    x = 284,068.50/594.70
  6. Step 6: Final answer
    x = 477.67

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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.