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Finding the Fourth Proportional to 374.93, 562.40 and 345.77

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Solution

The fourth proportional to 374.93, 562.40 and 345.77 is: 518.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.93 : 562.40 = 345.77 : x
  2. Step 2: Convert to fraction form
    374.93/562.40 = 345.77/x
  3. Step 3: Cross multiply
    374.93x = 562.40 × 345.77
  4. Step 4: Simplify right side
    374.93x = 194,462.02
  5. Step 5: Solve for x
    x = 194,462.02/374.93
  6. Step 6: Final answer
    x = 518.66

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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.