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Finding the Fourth Proportional to 570.48, 856.71 and 541.28

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Solution

The fourth proportional to 570.48, 856.71 and 541.28 is: 812.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.48 : 856.71 = 541.28 : x
  2. Step 2: Convert to fraction form
    570.48/856.71 = 541.28/x
  3. Step 3: Cross multiply
    570.48x = 856.71 × 541.28
  4. Step 4: Simplify right side
    570.48x = 463,719.99
  5. Step 5: Solve for x
    x = 463,719.99/570.48
  6. Step 6: Final answer
    x = 812.86

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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.