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Finding the Fourth Proportional to 638.16, 957.53 and 407.00

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Solution

The fourth proportional to 638.16, 957.53 and 407.00 is: 610.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.16 : 957.53 = 407.00 : x
  2. Step 2: Convert to fraction form
    638.16/957.53 = 407.00/x
  3. Step 3: Cross multiply
    638.16x = 957.53 × 407.00
  4. Step 4: Simplify right side
    638.16x = 389,707.89
  5. Step 5: Solve for x
    x = 389,707.89/638.16
  6. Step 6: Final answer
    x = 610.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.