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Finding the Fourth Proportional to 570.16, 786.76 and 337.28

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Solution

The fourth proportional to 570.16, 786.76 and 337.28 is: 465.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.16 : 786.76 = 337.28 : x
  2. Step 2: Convert to fraction form
    570.16/786.76 = 337.28/x
  3. Step 3: Cross multiply
    570.16x = 786.76 × 337.28
  4. Step 4: Simplify right side
    570.16x = 265,358.41
  5. Step 5: Solve for x
    x = 265,358.41/570.16
  6. Step 6: Final answer
    x = 465.41

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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.