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Finding the Fourth Proportional to 602.66, 831.53 and 340.63

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Solution

The fourth proportional to 602.66, 831.53 and 340.63 is: 469.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.66 : 831.53 = 340.63 : x
  2. Step 2: Convert to fraction form
    602.66/831.53 = 340.63/x
  3. Step 3: Cross multiply
    602.66x = 831.53 × 340.63
  4. Step 4: Simplify right side
    602.66x = 283,242.84
  5. Step 5: Solve for x
    x = 283,242.84/602.66
  6. Step 6: Final answer
    x = 469.99

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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.