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Finding the Fourth Proportional to 570.92, 857.46 and 356

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Solution

The fourth proportional to 570.92, 857.46 and 356 is: 534.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.92 : 857.46 = 356 : x
  2. Step 2: Convert to fraction form
    570.92/857.46 = 356/x
  3. Step 3: Cross multiply
    570.92x = 857.46 × 356
  4. Step 4: Simplify right side
    570.92x = 305,255.76
  5. Step 5: Solve for x
    x = 305,255.76/570.92
  6. Step 6: Final answer
    x = 534.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.