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Finding the Fourth Proportional to 485.01, 728.75 and 457.01

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Solution

The fourth proportional to 485.01, 728.75 and 457.01 is: 686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.01 : 728.75 = 457.01 : x
  2. Step 2: Convert to fraction form
    485.01/728.75 = 457.01/x
  3. Step 3: Cross multiply
    485.01x = 728.75 × 457.01
  4. Step 4: Simplify right side
    485.01x = 333,040.11
  5. Step 5: Solve for x
    x = 333,040.11/485.01
  6. Step 6: Final answer
    x = 686.67

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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.