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Finding the Fourth Proportional to 526.96, 727.14 and 352

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Solution

The fourth proportional to 526.96, 727.14 and 352 is: 485.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.96 : 727.14 = 352 : x
  2. Step 2: Convert to fraction form
    526.96/727.14 = 352/x
  3. Step 3: Cross multiply
    526.96x = 727.14 × 352
  4. Step 4: Simplify right side
    526.96x = 255,953.28
  5. Step 5: Solve for x
    x = 255,953.28/526.96
  6. Step 6: Final answer
    x = 485.72

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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.