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Finding the Fourth Proportional to 570.76, 786.99 and 405.01

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Solution

The fourth proportional to 570.76, 786.99 and 405.01 is: 558.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.76 : 786.99 = 405.01 : x
  2. Step 2: Convert to fraction form
    570.76/786.99 = 405.01/x
  3. Step 3: Cross multiply
    570.76x = 786.99 × 405.01
  4. Step 4: Simplify right side
    570.76x = 318,738.82
  5. Step 5: Solve for x
    x = 318,738.82/570.76
  6. Step 6: Final answer
    x = 558.45

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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.