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Finding the Fourth Proportional to 526.52, 726.64 and 302.52

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Solution

The fourth proportional to 526.52, 726.64 and 302.52 is: 417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.52 : 726.64 = 302.52 : x
  2. Step 2: Convert to fraction form
    526.52/726.64 = 302.52/x
  3. Step 3: Cross multiply
    526.52x = 726.64 × 302.52
  4. Step 4: Simplify right side
    526.52x = 219,823.13
  5. Step 5: Solve for x
    x = 219,823.13/526.52
  6. Step 6: Final answer
    x = 417.50

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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.