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Finding the Fourth Proportional to 631.35, 870.93 and 409.93

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Solution

The fourth proportional to 631.35, 870.93 and 409.93 is: 565.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.35 : 870.93 = 409.93 : x
  2. Step 2: Convert to fraction form
    631.35/870.93 = 409.93/x
  3. Step 3: Cross multiply
    631.35x = 870.93 × 409.93
  4. Step 4: Simplify right side
    631.35x = 357,018.16
  5. Step 5: Solve for x
    x = 357,018.16/631.35
  6. Step 6: Final answer
    x = 565.48

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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.