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Finding the Fourth Proportional to 945.16, 1,417.38 and 360.16

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Solution

The fourth proportional to 945.16, 1,417.38 and 360.16 is: 540.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.16 : 1,417.38 = 360.16 : x
  2. Step 2: Convert to fraction form
    945.16/1,417.38 = 360.16/x
  3. Step 3: Cross multiply
    945.16x = 1,417.38 × 360.16
  4. Step 4: Simplify right side
    945.16x = 510,483.58
  5. Step 5: Solve for x
    x = 510,483.58/945.16
  6. Step 6: Final answer
    x = 540.10

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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.