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Finding the Fourth Proportional to 599.51, 900.21 and 497.45

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Solution

The fourth proportional to 599.51, 900.21 and 497.45 is: 746.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.51 : 900.21 = 497.45 : x
  2. Step 2: Convert to fraction form
    599.51/900.21 = 497.45/x
  3. Step 3: Cross multiply
    599.51x = 900.21 × 497.45
  4. Step 4: Simplify right side
    599.51x = 447,809.46
  5. Step 5: Solve for x
    x = 447,809.46/599.51
  6. Step 6: Final answer
    x = 746.96

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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.