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Finding the Fourth Proportional to 532.63, 740.10 and 526.93

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Solution

The fourth proportional to 532.63, 740.10 and 526.93 is: 732.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.63 : 740.10 = 526.93 : x
  2. Step 2: Convert to fraction form
    532.63/740.10 = 526.93/x
  3. Step 3: Cross multiply
    532.63x = 740.10 × 526.93
  4. Step 4: Simplify right side
    532.63x = 389,974.56
  5. Step 5: Solve for x
    x = 389,974.56/532.63
  6. Step 6: Final answer
    x = 732.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.