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Finding the Fourth Proportional to 631.40, 870.35 and 445.10

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Solution

The fourth proportional to 631.40, 870.35 and 445.10 is: 613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.40 : 870.35 = 445.10 : x
  2. Step 2: Convert to fraction form
    631.40/870.35 = 445.10/x
  3. Step 3: Cross multiply
    631.40x = 870.35 × 445.10
  4. Step 4: Simplify right side
    631.40x = 387,386.21
  5. Step 5: Solve for x
    x = 387,386.21/631.40
  6. Step 6: Final answer
    x = 613.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.