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Finding the Fourth Proportional to 564.88, 779.60 and 368.05

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Solution

The fourth proportional to 564.88, 779.60 and 368.05 is: 507.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.88 : 779.60 = 368.05 : x
  2. Step 2: Convert to fraction form
    564.88/779.60 = 368.05/x
  3. Step 3: Cross multiply
    564.88x = 779.60 × 368.05
  4. Step 4: Simplify right side
    564.88x = 286,931.78
  5. Step 5: Solve for x
    x = 286,931.78/564.88
  6. Step 6: Final answer
    x = 507.95

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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.