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Finding the Fourth Proportional to 501.32, 692.07 and 315.09

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Solution

The fourth proportional to 501.32, 692.07 and 315.09 is: 434.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.32 : 692.07 = 315.09 : x
  2. Step 2: Convert to fraction form
    501.32/692.07 = 315.09/x
  3. Step 3: Cross multiply
    501.32x = 692.07 × 315.09
  4. Step 4: Simplify right side
    501.32x = 218,064.34
  5. Step 5: Solve for x
    x = 218,064.34/501.32
  6. Step 6: Final answer
    x = 434.98

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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.