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Finding the Fourth Proportional to 870.48, 1,305.78 and 307.55

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Solution

The fourth proportional to 870.48, 1,305.78 and 307.55 is: 461.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.48 : 1,305.78 = 307.55 : x
  2. Step 2: Convert to fraction form
    870.48/1,305.78 = 307.55/x
  3. Step 3: Cross multiply
    870.48x = 1,305.78 × 307.55
  4. Step 4: Simplify right side
    870.48x = 401,595.90
  5. Step 5: Solve for x
    x = 401,595.90/870.48
  6. Step 6: Final answer
    x = 461.35

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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.