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Finding the Fourth Proportional to 612.07, 915.33 and 392.15

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Solution

The fourth proportional to 612.07, 915.33 and 392.15 is: 586.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.07 : 915.33 = 392.15 : x
  2. Step 2: Convert to fraction form
    612.07/915.33 = 392.15/x
  3. Step 3: Cross multiply
    612.07x = 915.33 × 392.15
  4. Step 4: Simplify right side
    612.07x = 358,946.66
  5. Step 5: Solve for x
    x = 358,946.66/612.07
  6. Step 6: Final answer
    x = 586.45

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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.