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Finding the Fourth Proportional to 501.34, 752.04 and 285.10

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Solution

The fourth proportional to 501.34, 752.04 and 285.10 is: 427.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.34 : 752.04 = 285.10 : x
  2. Step 2: Convert to fraction form
    501.34/752.04 = 285.10/x
  3. Step 3: Cross multiply
    501.34x = 752.04 × 285.10
  4. Step 4: Simplify right side
    501.34x = 214,406.60
  5. Step 5: Solve for x
    x = 214,406.60/501.34
  6. Step 6: Final answer
    x = 427.67

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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.