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Finding the Fourth Proportional to 565.71, 848.57 and 322.35

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Solution

The fourth proportional to 565.71, 848.57 and 322.35 is: 483.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.71 : 848.57 = 322.35 : x
  2. Step 2: Convert to fraction form
    565.71/848.57 = 322.35/x
  3. Step 3: Cross multiply
    565.71x = 848.57 × 322.35
  4. Step 4: Simplify right side
    565.71x = 273,536.54
  5. Step 5: Solve for x
    x = 273,536.54/565.71
  6. Step 6: Final answer
    x = 483.53

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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.