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Finding the Fourth Proportional to 527.77, 790.30 and 365.77

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Solution

The fourth proportional to 527.77, 790.30 and 365.77 is: 547.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.77 : 790.30 = 365.77 : x
  2. Step 2: Convert to fraction form
    527.77/790.30 = 365.77/x
  3. Step 3: Cross multiply
    527.77x = 790.30 × 365.77
  4. Step 4: Simplify right side
    527.77x = 289,068.03
  5. Step 5: Solve for x
    x = 289,068.03/527.77
  6. Step 6: Final answer
    x = 547.72

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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.