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Finding the Fourth Proportional to 572.10, 856.80 and 283.20

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Solution

The fourth proportional to 572.10, 856.80 and 283.20 is: 424.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.10 : 856.80 = 283.20 : x
  2. Step 2: Convert to fraction form
    572.10/856.80 = 283.20/x
  3. Step 3: Cross multiply
    572.10x = 856.80 × 283.20
  4. Step 4: Simplify right side
    572.10x = 242,645.76
  5. Step 5: Solve for x
    x = 242,645.76/572.10
  6. Step 6: Final answer
    x = 424.13

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