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Finding the Fourth Proportional to 570.02, 786.46 and 342.83

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Solution

The fourth proportional to 570.02, 786.46 and 342.83 is: 473.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.02 : 786.46 = 342.83 : x
  2. Step 2: Convert to fraction form
    570.02/786.46 = 342.83/x
  3. Step 3: Cross multiply
    570.02x = 786.46 × 342.83
  4. Step 4: Simplify right side
    570.02x = 269,622.94
  5. Step 5: Solve for x
    x = 269,622.94/570.02
  6. Step 6: Final answer
    x = 473.01

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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.