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Finding the Fourth Proportional to 536.34, 740.10 and 315.35

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Solution

The fourth proportional to 536.34, 740.10 and 315.35 is: 435.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.34 : 740.10 = 315.35 : x
  2. Step 2: Convert to fraction form
    536.34/740.10 = 315.35/x
  3. Step 3: Cross multiply
    536.34x = 740.10 × 315.35
  4. Step 4: Simplify right side
    536.34x = 233,390.54
  5. Step 5: Solve for x
    x = 233,390.54/536.34
  6. Step 6: Final answer
    x = 435.15

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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.