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Finding the Fourth Proportional to 572.16, 856.74 and 467.64

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Solution

The fourth proportional to 572.16, 856.74 and 467.64 is: 700.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.16 : 856.74 = 467.64 : x
  2. Step 2: Convert to fraction form
    572.16/856.74 = 467.64/x
  3. Step 3: Cross multiply
    572.16x = 856.74 × 467.64
  4. Step 4: Simplify right side
    572.16x = 400,645.89
  5. Step 5: Solve for x
    x = 400,645.89/572.16
  6. Step 6: Final answer
    x = 700.23

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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.