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Finding the Fourth Proportional to 565.68, 780.30 and 358.68

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Solution

The fourth proportional to 565.68, 780.30 and 358.68 is: 494.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.68 : 780.30 = 358.68 : x
  2. Step 2: Convert to fraction form
    565.68/780.30 = 358.68/x
  3. Step 3: Cross multiply
    565.68x = 780.30 × 358.68
  4. Step 4: Simplify right side
    565.68x = 279,878.00
  5. Step 5: Solve for x
    x = 279,878.00/565.68
  6. Step 6: Final answer
    x = 494.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.