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Finding the Fourth Proportional to 570.96, 786.24 and 477.54

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Solution

The fourth proportional to 570.96, 786.24 and 477.54 is: 657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.96 : 786.24 = 477.54 : x
  2. Step 2: Convert to fraction form
    570.96/786.24 = 477.54/x
  3. Step 3: Cross multiply
    570.96x = 786.24 × 477.54
  4. Step 4: Simplify right side
    570.96x = 375,461.05
  5. Step 5: Solve for x
    x = 375,461.05/570.96
  6. Step 6: Final answer
    x = 657.60

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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.