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Finding the Fourth Proportional to 569.48, 856.38 and 498.20

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Solution

The fourth proportional to 569.48, 856.38 and 498.20 is: 749.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.48 : 856.38 = 498.20 : x
  2. Step 2: Convert to fraction form
    569.48/856.38 = 498.20/x
  3. Step 3: Cross multiply
    569.48x = 856.38 × 498.20
  4. Step 4: Simplify right side
    569.48x = 426,648.52
  5. Step 5: Solve for x
    x = 426,648.52/569.48
  6. Step 6: Final answer
    x = 749.19

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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.