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Finding the Fourth Proportional to 570.37, 786.41 and 465.16

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Solution

The fourth proportional to 570.37, 786.41 and 465.16 is: 641.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.37 : 786.41 = 465.16 : x
  2. Step 2: Convert to fraction form
    570.37/786.41 = 465.16/x
  3. Step 3: Cross multiply
    570.37x = 786.41 × 465.16
  4. Step 4: Simplify right side
    570.37x = 365,806.48
  5. Step 5: Solve for x
    x = 365,806.48/570.37
  6. Step 6: Final answer
    x = 641.35

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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.