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Finding the Fourth Proportional to 565.04, 779.64 and 378.32

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Solution

The fourth proportional to 565.04, 779.64 and 378.32 is: 522.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.04 : 779.64 = 378.32 : x
  2. Step 2: Convert to fraction form
    565.04/779.64 = 378.32/x
  3. Step 3: Cross multiply
    565.04x = 779.64 × 378.32
  4. Step 4: Simplify right side
    565.04x = 294,953.40
  5. Step 5: Solve for x
    x = 294,953.40/565.04
  6. Step 6: Final answer
    x = 522.00

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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.