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Finding the Fourth Proportional to 570.59, 787.39 and 405.08

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Solution

The fourth proportional to 570.59, 787.39 and 405.08 is: 558.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.59 : 787.39 = 405.08 : x
  2. Step 2: Convert to fraction form
    570.59/787.39 = 405.08/x
  3. Step 3: Cross multiply
    570.59x = 787.39 × 405.08
  4. Step 4: Simplify right side
    570.59x = 318,950.99
  5. Step 5: Solve for x
    x = 318,950.99/570.59
  6. Step 6: Final answer
    x = 558.99

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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.