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Finding the Fourth Proportional to 505.77, 697.58 and 381.45

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Solution

The fourth proportional to 505.77, 697.58 and 381.45 is: 526.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.77 : 697.58 = 381.45 : x
  2. Step 2: Convert to fraction form
    505.77/697.58 = 381.45/x
  3. Step 3: Cross multiply
    505.77x = 697.58 × 381.45
  4. Step 4: Simplify right side
    505.77x = 266,089.98
  5. Step 5: Solve for x
    x = 266,089.98/505.77
  6. Step 6: Final answer
    x = 526.11

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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.