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Finding the Fourth Proportional to 513.32, 707.78 and 373.16

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Solution

The fourth proportional to 513.32, 707.78 and 373.16 is: 514.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.32 : 707.78 = 373.16 : x
  2. Step 2: Convert to fraction form
    513.32/707.78 = 373.16/x
  3. Step 3: Cross multiply
    513.32x = 707.78 × 373.16
  4. Step 4: Simplify right side
    513.32x = 264,115.18
  5. Step 5: Solve for x
    x = 264,115.18/513.32
  6. Step 6: Final answer
    x = 514.52

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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.