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Finding the Fourth Proportional to 903.16, 1,354.56 and 416.14

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Solution

The fourth proportional to 903.16, 1,354.56 and 416.14 is: 624.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.16 : 1,354.56 = 416.14 : x
  2. Step 2: Convert to fraction form
    903.16/1,354.56 = 416.14/x
  3. Step 3: Cross multiply
    903.16x = 1,354.56 × 416.14
  4. Step 4: Simplify right side
    903.16x = 563,686.60
  5. Step 5: Solve for x
    x = 563,686.60/903.16
  6. Step 6: Final answer
    x = 624.13

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Why These Related Problems?

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