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Finding the Fourth Proportional to 504.75, 695.95 and 411.30

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Solution

The fourth proportional to 504.75, 695.95 and 411.30 is: 567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.75 : 695.95 = 411.30 : x
  2. Step 2: Convert to fraction form
    504.75/695.95 = 411.30/x
  3. Step 3: Cross multiply
    504.75x = 695.95 × 411.30
  4. Step 4: Simplify right side
    504.75x = 286,243.21
  5. Step 5: Solve for x
    x = 286,243.21/504.75
  6. Step 6: Final answer
    x = 567.10

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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.