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Finding the Fourth Proportional to 526.68, 727.53 and 457.65

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Solution

The fourth proportional to 526.68, 727.53 and 457.65 is: 632.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.68 : 727.53 = 457.65 : x
  2. Step 2: Convert to fraction form
    526.68/727.53 = 457.65/x
  3. Step 3: Cross multiply
    526.68x = 727.53 × 457.65
  4. Step 4: Simplify right side
    526.68x = 332,954.10
  5. Step 5: Solve for x
    x = 332,954.10/526.68
  6. Step 6: Final answer
    x = 632.18

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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.