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Finding the Fourth Proportional to 501.81, 692.51 and 292.06

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Solution

The fourth proportional to 501.81, 692.51 and 292.06 is: 403.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.81 : 692.51 = 292.06 : x
  2. Step 2: Convert to fraction form
    501.81/692.51 = 292.06/x
  3. Step 3: Cross multiply
    501.81x = 692.51 × 292.06
  4. Step 4: Simplify right side
    501.81x = 202,254.47
  5. Step 5: Solve for x
    x = 202,254.47/501.81
  6. Step 6: Final answer
    x = 403.05

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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.