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Finding the Fourth Proportional to 501.76, 692.07 and 435.25

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Solution

The fourth proportional to 501.76, 692.07 and 435.25 is: 600.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.76 : 692.07 = 435.25 : x
  2. Step 2: Convert to fraction form
    501.76/692.07 = 435.25/x
  3. Step 3: Cross multiply
    501.76x = 692.07 × 435.25
  4. Step 4: Simplify right side
    501.76x = 301,220.01
  5. Step 5: Solve for x
    x = 301,220.01/501.76
  6. Step 6: Final answer
    x = 600.33

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