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Finding the Fourth Proportional to 697.52, 962.53 and 417.77

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Solution

The fourth proportional to 697.52, 962.53 and 417.77 is: 576.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.52 : 962.53 = 417.77 : x
  2. Step 2: Convert to fraction form
    697.52/962.53 = 417.77/x
  3. Step 3: Cross multiply
    697.52x = 962.53 × 417.77
  4. Step 4: Simplify right side
    697.52x = 402,117.52
  5. Step 5: Solve for x
    x = 402,117.52/697.52
  6. Step 6: Final answer
    x = 576.50

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1.5x scale

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.