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Finding the Fourth Proportional to 597.35, 825.72 and 498.53

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Solution

The fourth proportional to 597.35, 825.72 and 498.53 is: 689.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.35 : 825.72 = 498.53 : x
  2. Step 2: Convert to fraction form
    597.35/825.72 = 498.53/x
  3. Step 3: Cross multiply
    597.35x = 825.72 × 498.53
  4. Step 4: Simplify right side
    597.35x = 411,646.19
  5. Step 5: Solve for x
    x = 411,646.19/597.35
  6. Step 6: Final answer
    x = 689.12

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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.