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Finding the Fourth Proportional to 575.32, 793.71 and 400.77

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Solution

The fourth proportional to 575.32, 793.71 and 400.77 is: 552.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.32 : 793.71 = 400.77 : x
  2. Step 2: Convert to fraction form
    575.32/793.71 = 400.77/x
  3. Step 3: Cross multiply
    575.32x = 793.71 × 400.77
  4. Step 4: Simplify right side
    575.32x = 318,095.16
  5. Step 5: Solve for x
    x = 318,095.16/575.32
  6. Step 6: Final answer
    x = 552.90

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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.