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Finding the Fourth Proportional to 499.77, 750.33 and 435.24

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Solution

The fourth proportional to 499.77, 750.33 and 435.24 is: 653.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.77 : 750.33 = 435.24 : x
  2. Step 2: Convert to fraction form
    499.77/750.33 = 435.24/x
  3. Step 3: Cross multiply
    499.77x = 750.33 × 435.24
  4. Step 4: Simplify right side
    499.77x = 326,573.63
  5. Step 5: Solve for x
    x = 326,573.63/499.77
  6. Step 6: Final answer
    x = 653.45

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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.