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Finding the Fourth Proportional to 570.80, 786.78 and 404.76

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Solution

The fourth proportional to 570.80, 786.78 and 404.76 is: 557.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.80 : 786.78 = 404.76 : x
  2. Step 2: Convert to fraction form
    570.80/786.78 = 404.76/x
  3. Step 3: Cross multiply
    570.80x = 786.78 × 404.76
  4. Step 4: Simplify right side
    570.80x = 318,457.07
  5. Step 5: Solve for x
    x = 318,457.07/570.80
  6. Step 6: Final answer
    x = 557.91

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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.