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Finding the Fourth Proportional to 438.13, 604.65 and 307.45

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Solution

The fourth proportional to 438.13, 604.65 and 307.45 is: 424.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.13 : 604.65 = 307.45 : x
  2. Step 2: Convert to fraction form
    438.13/604.65 = 307.45/x
  3. Step 3: Cross multiply
    438.13x = 604.65 × 307.45
  4. Step 4: Simplify right side
    438.13x = 185,895.08
  5. Step 5: Solve for x
    x = 185,895.08/438.13
  6. Step 6: Final answer
    x = 424.30

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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.