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Finding the Fourth Proportional to 570.21, 786.95 and 476.79

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Solution

The fourth proportional to 570.21, 786.95 and 476.79 is: 658.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.21 : 786.95 = 476.79 : x
  2. Step 2: Convert to fraction form
    570.21/786.95 = 476.79/x
  3. Step 3: Cross multiply
    570.21x = 786.95 × 476.79
  4. Step 4: Simplify right side
    570.21x = 375,206.34
  5. Step 5: Solve for x
    x = 375,206.34/570.21
  6. Step 6: Final answer
    x = 658.02

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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.