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Finding the Fourth Proportional to 529.89, 795.02 and 256.02

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Solution

The fourth proportional to 529.89, 795.02 and 256.02 is: 384.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.89 : 795.02 = 256.02 : x
  2. Step 2: Convert to fraction form
    529.89/795.02 = 256.02/x
  3. Step 3: Cross multiply
    529.89x = 795.02 × 256.02
  4. Step 4: Simplify right side
    529.89x = 203,539.74
  5. Step 5: Solve for x
    x = 203,539.74/529.89
  6. Step 6: Final answer
    x = 384.12

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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.