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Finding the Fourth Proportional to 575, 862.64 and 210.08

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Solution

The fourth proportional to 575, 862.64 and 210.08 is: 315.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    575 : 862.64 = 210.08 : x
  2. Step 2: Convert to fraction form
    575/862.64 = 210.08/x
  3. Step 3: Cross multiply
    575x = 862.64 × 210.08
  4. Step 4: Simplify right side
    575x = 181,223.41
  5. Step 5: Solve for x
    x = 181,223.41/575
  6. Step 6: Final answer
    x = 315.17

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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.