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Finding the Fourth Proportional to 572.16, 856.80 and 341.16

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Solution

The fourth proportional to 572.16, 856.80 and 341.16 is: 510.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.16 : 856.80 = 341.16 : x
  2. Step 2: Convert to fraction form
    572.16/856.80 = 341.16/x
  3. Step 3: Cross multiply
    572.16x = 856.80 × 341.16
  4. Step 4: Simplify right side
    572.16x = 292,305.89
  5. Step 5: Solve for x
    x = 292,305.89/572.16
  6. Step 6: Final answer
    x = 510.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.