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Finding the Fourth Proportional to 487.48, 670.24 and 434.53

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Solution

The fourth proportional to 487.48, 670.24 and 434.53 is: 597.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.48 : 670.24 = 434.53 : x
  2. Step 2: Convert to fraction form
    487.48/670.24 = 434.53/x
  3. Step 3: Cross multiply
    487.48x = 670.24 × 434.53
  4. Step 4: Simplify right side
    487.48x = 291,239.39
  5. Step 5: Solve for x
    x = 291,239.39/487.48
  6. Step 6: Final answer
    x = 597.44

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.