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Finding the Fourth Proportional to 594.92, 821.06 and 346.45

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Solution

The fourth proportional to 594.92, 821.06 and 346.45 is: 478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.92 : 821.06 = 346.45 : x
  2. Step 2: Convert to fraction form
    594.92/821.06 = 346.45/x
  3. Step 3: Cross multiply
    594.92x = 821.06 × 346.45
  4. Step 4: Simplify right side
    594.92x = 284,456.24
  5. Step 5: Solve for x
    x = 284,456.24/594.92
  6. Step 6: Final answer
    x = 478.14

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1.5x scale

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.