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Finding the Fourth Proportional to 261.64, 390.82 and 260.42

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Solution

The fourth proportional to 261.64, 390.82 and 260.42 is: 389.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.64 : 390.82 = 260.42 : x
  2. Step 2: Convert to fraction form
    261.64/390.82 = 260.42/x
  3. Step 3: Cross multiply
    261.64x = 390.82 × 260.42
  4. Step 4: Simplify right side
    261.64x = 101,777.67
  5. Step 5: Solve for x
    x = 101,777.67/261.64
  6. Step 6: Final answer
    x = 389.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.