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Finding the Fourth Proportional to 557.76, 770.06 and 381.01

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Solution

The fourth proportional to 557.76, 770.06 and 381.01 is: 526.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.76 : 770.06 = 381.01 : x
  2. Step 2: Convert to fraction form
    557.76/770.06 = 381.01/x
  3. Step 3: Cross multiply
    557.76x = 770.06 × 381.01
  4. Step 4: Simplify right side
    557.76x = 293,400.56
  5. Step 5: Solve for x
    x = 293,400.56/557.76
  6. Step 6: Final answer
    x = 526.03

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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.