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Finding the Fourth Proportional to 480.34, 719.70 and 336.16

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Solution

The fourth proportional to 480.34, 719.70 and 336.16 is: 503.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.34 : 719.70 = 336.16 : x
  2. Step 2: Convert to fraction form
    480.34/719.70 = 336.16/x
  3. Step 3: Cross multiply
    480.34x = 719.70 × 336.16
  4. Step 4: Simplify right side
    480.34x = 241,934.35
  5. Step 5: Solve for x
    x = 241,934.35/480.34
  6. Step 6: Final answer
    x = 503.67

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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.