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Finding the Fourth Proportional to 598.57, 902.15 and 565.08

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Solution

The fourth proportional to 598.57, 902.15 and 565.08 is: 851.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.57 : 902.15 = 565.08 : x
  2. Step 2: Convert to fraction form
    598.57/902.15 = 565.08/x
  3. Step 3: Cross multiply
    598.57x = 902.15 × 565.08
  4. Step 4: Simplify right side
    598.57x = 509,787.91
  5. Step 5: Solve for x
    x = 509,787.91/598.57
  6. Step 6: Final answer
    x = 851.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.