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Finding the Fourth Proportional to 499.66, 689.58 and 375.10

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Solution

The fourth proportional to 499.66, 689.58 and 375.10 is: 517.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.66 : 689.58 = 375.10 : x
  2. Step 2: Convert to fraction form
    499.66/689.58 = 375.10/x
  3. Step 3: Cross multiply
    499.66x = 689.58 × 375.10
  4. Step 4: Simplify right side
    499.66x = 258,661.46
  5. Step 5: Solve for x
    x = 258,661.46/499.66
  6. Step 6: Final answer
    x = 517.67

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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.