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Finding the Fourth Proportional to 356, 533.64 and 258

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Solution

The fourth proportional to 356, 533.64 and 258 is: 386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    356 : 533.64 = 258 : x
  2. Step 2: Convert to fraction form
    356/533.64 = 258/x
  3. Step 3: Cross multiply
    356x = 533.64 × 258
  4. Step 4: Simplify right side
    356x = 137,679.12
  5. Step 5: Solve for x
    x = 137,679.12/356
  6. Step 6: Final answer
    x = 386.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.