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Finding the Fourth Proportional to 501.34, 692.32 and 384.70

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Solution

The fourth proportional to 501.34, 692.32 and 384.70 is: 531.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.34 : 692.32 = 384.70 : x
  2. Step 2: Convert to fraction form
    501.34/692.32 = 384.70/x
  3. Step 3: Cross multiply
    501.34x = 692.32 × 384.70
  4. Step 4: Simplify right side
    501.34x = 266,335.50
  5. Step 5: Solve for x
    x = 266,335.50/501.34
  6. Step 6: Final answer
    x = 531.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.