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Finding the Fourth Proportional to 570.80, 787.17 and 460.22

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Solution

The fourth proportional to 570.80, 787.17 and 460.22 is: 634.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.80 : 787.17 = 460.22 : x
  2. Step 2: Convert to fraction form
    570.80/787.17 = 460.22/x
  3. Step 3: Cross multiply
    570.80x = 787.17 × 460.22
  4. Step 4: Simplify right side
    570.80x = 362,271.38
  5. Step 5: Solve for x
    x = 362,271.38/570.80
  6. Step 6: Final answer
    x = 634.67

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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.