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Finding the Fourth Proportional to 570.67, 787.62 and 404.89

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Solution

The fourth proportional to 570.67, 787.62 and 404.89 is: 558.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.67 : 787.62 = 404.89 : x
  2. Step 2: Convert to fraction form
    570.67/787.62 = 404.89/x
  3. Step 3: Cross multiply
    570.67x = 787.62 × 404.89
  4. Step 4: Simplify right side
    570.67x = 318,899.01
  5. Step 5: Solve for x
    x = 318,899.01/570.67
  6. Step 6: Final answer
    x = 558.82

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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.