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Finding the Fourth Proportional to 907.22, 1,360.92 and 290.77

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Solution

The fourth proportional to 907.22, 1,360.92 and 290.77 is: 436.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.22 : 1,360.92 = 290.77 : x
  2. Step 2: Convert to fraction form
    907.22/1,360.92 = 290.77/x
  3. Step 3: Cross multiply
    907.22x = 1,360.92 × 290.77
  4. Step 4: Simplify right side
    907.22x = 395,714.71
  5. Step 5: Solve for x
    x = 395,714.71/907.22
  6. Step 6: Final answer
    x = 436.18

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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.