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Finding the Fourth Proportional to 570.29, 786.42 and 477.02

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Solution

The fourth proportional to 570.29, 786.42 and 477.02 is: 657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.29 : 786.42 = 477.02 : x
  2. Step 2: Convert to fraction form
    570.29/786.42 = 477.02/x
  3. Step 3: Cross multiply
    570.29x = 786.42 × 477.02
  4. Step 4: Simplify right side
    570.29x = 375,138.07
  5. Step 5: Solve for x
    x = 375,138.07/570.29
  6. Step 6: Final answer
    x = 657.80

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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.