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Finding the Fourth Proportional to 907.10, 1,360.65 and 290.81

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Solution

The fourth proportional to 907.10, 1,360.65 and 290.81 is: 436.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.10 : 1,360.65 = 290.81 : x
  2. Step 2: Convert to fraction form
    907.10/1,360.65 = 290.81/x
  3. Step 3: Cross multiply
    907.10x = 1,360.65 × 290.81
  4. Step 4: Simplify right side
    907.10x = 395,690.63
  5. Step 5: Solve for x
    x = 395,690.63/907.10
  6. Step 6: Final answer
    x = 436.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.