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Finding the Fourth Proportional to 572.24, 856.72 and 435.84

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Solution

The fourth proportional to 572.24, 856.72 and 435.84 is: 652.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.24 : 856.72 = 435.84 : x
  2. Step 2: Convert to fraction form
    572.24/856.72 = 435.84/x
  3. Step 3: Cross multiply
    572.24x = 856.72 × 435.84
  4. Step 4: Simplify right side
    572.24x = 373,392.84
  5. Step 5: Solve for x
    x = 373,392.84/572.24
  6. Step 6: Final answer
    x = 652.51

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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.